topic_name
stringclasses 721
values | problem
stringlengths 4
1.36k
⌀ | hints/solutions
stringlengths 5
3.3k
|
---|---|---|
171 | Solve for $x$ : $10 = 3x$ | Divide both sides by $3$ $ {\dfrac{\color{black}{10}}{3}} = {\dfrac{\color{black}{3x}}{3}} $ Simplify: $\dfrac{10}{3} = \dfrac{\cancel{3}x}{\cancel{3}}$ $x = \dfrac{10}{3}$ |
171 | Solve for $x$ : $2x = 8$ | Divide both sides by $2$ $ {\dfrac{\color{black}{2x}}{2}} = {\dfrac{\color{black}{8}}{2}} $ Simplify: $\dfrac{\cancel{2}x}{\cancel{2}} = 4$ $x = 4$ |
171 | Solve for $x$ : $10x = 6$ | Divide both sides by $10$ $ {\dfrac{\color{black}{10x}}{10}} = {\dfrac{\color{black}{6}}{10}} $ Simplify: $\dfrac{\cancel{10}x}{\cancel{10}} = \dfrac{3}{5}$ $x = \dfrac{3}{5}$ |
171 | Solve for $x$ : $7x = 10$ | Divide both sides by $7$ $ {\dfrac{\color{black}{7x}}{7}} = {\dfrac{\color{black}{10}}{7}} $ Simplify: $\dfrac{\cancel{7}x}{\cancel{7}} = \dfrac{10}{7}$ $x = \dfrac{10}{7}$ |
171 | Solve for $x$ : $7 = 3x$ | Divide both sides by $3$ $ {\dfrac{\color{black}{7}}{3}} = {\dfrac{\color{black}{3x}}{3}} $ Simplify: $\dfrac{7}{3} = \dfrac{\cancel{3}x}{\cancel{3}}$ $x = \dfrac{7}{3}$ |
171 | Solve for $x$ : $10 = \dfrac{x}{4}$ | Multiply both sides by $4$ $ 10 {\cdot 4} = \dfrac{x}{4} {\cdot 4} $ Simplify: $40 = \dfrac{x}{\cancel{4}} \cdot \cancel{4}$ $x = 40$ |
171 | Solve for $x$ : $8 = \dfrac{x}{3}$ | Multiply both sides by $3$ $ 8 {\cdot 3} = \dfrac{x}{3} {\cdot 3} $ Simplify: $24 = \dfrac{x}{\cancel{3}} \cdot \cancel{3}$ $x = 24$ |
171 | Solve for $x$ : $\dfrac{x}{3} = 6$ | Multiply both sides by $3$ $ \dfrac{x}{3} {\cdot 3} = 6 {\cdot 3} $ Simplify: $\dfrac{x}{\cancel{3}} \cdot \cancel{3} = 18$ $x = 18$ |
171 | Solve for $x$ : $9 = \dfrac{x}{7}$ | Multiply both sides by $7$ $ 9 {\cdot 7} = \dfrac{x}{7} {\cdot 7} $ Simplify: $63 = \dfrac{x}{\cancel{7}} \cdot \cancel{7}$ $x = 63$ |
171 | Solve for $x$ : $\dfrac{x}{7} = 5$ | Multiply both sides by $7$ $ \dfrac{x}{7} {\cdot 7} = 5 {\cdot 7} $ Simplify: $\dfrac{x}{\cancel{7}} \cdot \cancel{7} = 35$ $x = 35$ |
171 | Solve for $x$ : $10 = \dfrac{x}{5}$ | Multiply both sides by $5$ $ 10 {\cdot 5} = \dfrac{x}{5} {\cdot 5} $ Simplify: $50 = \dfrac{x}{\cancel{5}} \cdot \cancel{5}$ $x = 50$ |
171 | Solve for $x$ : $2 = 4x$ | Divide both sides by $4$ $ {\dfrac{\color{black}{2}}{4}} = {\dfrac{\color{black}{4x}}{4}} $ Simplify: $\dfrac{1}{2} = \dfrac{\cancel{4}x}{\cancel{4}}$ $x = \dfrac{1}{2}$ |
171 | Solve for $x$ : $9 = \dfrac{x}{3}$ | Multiply both sides by $3$ $ 9 {\cdot 3} = \dfrac{x}{3} {\cdot 3} $ Simplify: $27 = \dfrac{x}{\cancel{3}} \cdot \cancel{3}$ $x = 27$ |
171 | Solve for $x$ : $10x = 2$ | Divide both sides by $10$ $ {\dfrac{\color{black}{10x}}{10}} = {\dfrac{\color{black}{2}}{10}} $ Simplify: $\dfrac{\cancel{10}x}{\cancel{10}} = \dfrac{1}{5}$ $x = \dfrac{1}{5}$ |
171 | Solve for $x$ : $4 = \dfrac{x}{2}$ | Multiply both sides by $2$ $ 4 {\cdot 2} = \dfrac{x}{2} {\cdot 2} $ Simplify: $8 = \dfrac{x}{\cancel{2}} \cdot \cancel{2}$ $x = 8$ |
171 | Solve for $x$ : $2 = 5x$ | Divide both sides by $5$ $ {\dfrac{\color{black}{2}}{5}} = {\dfrac{\color{black}{5x}}{5}} $ Simplify: $\dfrac{2}{5} = \dfrac{\cancel{5}x}{\cancel{5}}$ $x = \dfrac{2}{5}$ |
171 | Solve for $x$ : $10 = \dfrac{x}{6}$ | Multiply both sides by $6$ $ 10 {\cdot 6} = \dfrac{x}{6} {\cdot 6} $ Simplify: $60 = \dfrac{x}{\cancel{6}} \cdot \cancel{6}$ $x = 60$ |
171 | Solve for $x$ : $5 = 8x$ | Divide both sides by $8$ $ {\dfrac{\color{black}{5}}{8}} = {\dfrac{\color{black}{8x}}{8}} $ Simplify: $\dfrac{5}{8} = \dfrac{\cancel{8}x}{\cancel{8}}$ $x = \dfrac{5}{8}$ |
171 | Solve for $x$ : $\dfrac{x}{6} = 5$ | Multiply both sides by $6$ $ \dfrac{x}{6} {\cdot 6} = 5 {\cdot 6} $ Simplify: $\dfrac{x}{\cancel{6}} \cdot \cancel{6} = 30$ $x = 30$ |
171 | Solve for $x$ : $\dfrac{x}{2} = 5$ | Multiply both sides by $2$ $ \dfrac{x}{2} {\cdot 2} = 5 {\cdot 2} $ Simplify: $\dfrac{x}{\cancel{2}} \cdot \cancel{2} = 10$ $x = 10$ |
171 | Solve for $x$ : $8 = 4x$ | Divide both sides by $4$ $ {\dfrac{\color{black}{8}}{4}} = {\dfrac{\color{black}{4x}}{4}} $ Simplify: $2 = \dfrac{\cancel{4}x}{\cancel{4}}$ $x = 2$ |
171 | Solve for $x$ : $9 = \dfrac{x}{9}$ | Multiply both sides by $9$ $ 9 {\cdot 9} = \dfrac{x}{9} {\cdot 9} $ Simplify: $81 = \dfrac{x}{\cancel{9}} \cdot \cancel{9}$ $x = 81$ |
171 | Solve for $x$ : $\dfrac{x}{8} = 9$ | Multiply both sides by $8$ $ \dfrac{x}{8} {\cdot 8} = 9 {\cdot 8} $ Simplify: $\dfrac{x}{\cancel{8}} \cdot \cancel{8} = 72$ $x = 72$ |
171 | Solve for $x$ : $6 = 10x$ | Divide both sides by $10$ $ {\dfrac{\color{black}{6}}{10}} = {\dfrac{\color{black}{10x}}{10}} $ Simplify: $\dfrac{3}{5} = \dfrac{\cancel{10}x}{\cancel{10}}$ $x = \dfrac{3}{5}$ |
171 | Solve for $x$ : $4 = 3x$ | Divide both sides by $3$ $ {\dfrac{\color{black}{4}}{3}} = {\dfrac{\color{black}{3x}}{3}} $ Simplify: $\dfrac{4}{3} = \dfrac{\cancel{3}x}{\cancel{3}}$ $x = \dfrac{4}{3}$ |
171 | Solve for $x$ : $4x = 7$ | Divide both sides by $4$ $ {\dfrac{\color{black}{4x}}{4}} = {\dfrac{\color{black}{7}}{4}} $ Simplify: $\dfrac{\cancel{4}x}{\cancel{4}} = \dfrac{7}{4}$ $x = \dfrac{7}{4}$ |
171 | Solve for $x$ : $\dfrac{x}{3} = 4$ | Multiply both sides by $3$ $ \dfrac{x}{3} {\cdot 3} = 4 {\cdot 3} $ Simplify: $\dfrac{x}{\cancel{3}} \cdot \cancel{3} = 12$ $x = 12$ |
171 | Solve for $x$ : $8x = 4$ | Divide both sides by $8$ $ {\dfrac{\color{black}{8x}}{8}} = {\dfrac{\color{black}{4}}{8}} $ Simplify: $\dfrac{\cancel{8}x}{\cancel{8}} = \dfrac{1}{2}$ $x = \dfrac{1}{2}$ |
171 | Solve for $x$ : $4x = 3$ | Divide both sides by $4$ $ {\dfrac{\color{black}{4x}}{4}} = {\dfrac{\color{black}{3}}{4}} $ Simplify: $\dfrac{\cancel{4}x}{\cancel{4}} = \dfrac{3}{4}$ $x = \dfrac{3}{4}$ |
171 | Solve for $x$ : $5x = 5$ | Divide both sides by $5$ $ {\dfrac{\color{black}{5x}}{5}} = {\dfrac{\color{black}{5}}{5}} $ Simplify: $\dfrac{\cancel{5}x}{\cancel{5}} = 1$ $x = 1$ |
171 | Solve for $x$ : $4x = 5$ | Divide both sides by $4$ $ {\dfrac{\color{black}{4x}}{4}} = {\dfrac{\color{black}{5}}{4}} $ Simplify: $\dfrac{\cancel{4}x}{\cancel{4}} = \dfrac{5}{4}$ $x = \dfrac{5}{4}$ |
171 | Solve for $x$ : $3x = 6$ | Divide both sides by $3$ $ {\dfrac{\color{black}{3x}}{3}} = {\dfrac{\color{black}{6}}{3}} $ Simplify: $\dfrac{\cancel{3}x}{\cancel{3}} = 2$ $x = 2$ |
171 | Solve for $x$ : $6 = \dfrac{x}{10}$ | Multiply both sides by $10$ $ 6 {\cdot 10} = \dfrac{x}{10} {\cdot 10} $ Simplify: $60 = \dfrac{x}{\cancel{10}} \cdot \cancel{10}$ $x = 60$ |
171 | Solve for $x$ : $2 = 8x$ | Divide both sides by $8$ $ {\dfrac{\color{black}{2}}{8}} = {\dfrac{\color{black}{8x}}{8}} $ Simplify: $\dfrac{1}{4} = \dfrac{\cancel{8}x}{\cancel{8}}$ $x = \dfrac{1}{4}$ |
171 | Solve for $x$ : $\dfrac{x}{10} = 3$ | Multiply both sides by $10$ $ \dfrac{x}{10} {\cdot 10} = 3 {\cdot 10} $ Simplify: $\dfrac{x}{\cancel{10}} \cdot \cancel{10} = 30$ $x = 30$ |
171 | Solve for $x$ : $10 = \dfrac{x}{9}$ | Multiply both sides by $9$ $ 10 {\cdot 9} = \dfrac{x}{9} {\cdot 9} $ Simplify: $90 = \dfrac{x}{\cancel{9}} \cdot \cancel{9}$ $x = 90$ |
171 | Solve for $x$ : $\dfrac{x}{8} = 8$ | Multiply both sides by $8$ $ \dfrac{x}{8} {\cdot 8} = 8 {\cdot 8} $ Simplify: $\dfrac{x}{\cancel{8}} \cdot \cancel{8} = 64$ $x = 64$ |
171 | Solve for $x$ : $\dfrac{x}{3} = 7$ | Multiply both sides by $3$ $ \dfrac{x}{3} {\cdot 3} = 7 {\cdot 3} $ Simplify: $\dfrac{x}{\cancel{3}} \cdot \cancel{3} = 21$ $x = 21$ |
171 | Solve for $x$ : $\dfrac{x}{4} = 10$ | Multiply both sides by $4$ $ \dfrac{x}{4} {\cdot 4} = 10 {\cdot 4} $ Simplify: $\dfrac{x}{\cancel{4}} \cdot \cancel{4} = 40$ $x = 40$ |
171 | Solve for $x$ : $\dfrac{x}{5} = 6$ | Multiply both sides by $5$ $ \dfrac{x}{5} {\cdot 5} = 6 {\cdot 5} $ Simplify: $\dfrac{x}{\cancel{5}} \cdot \cancel{5} = 30$ $x = 30$ |
171 | Solve for $x$ : $7 = \dfrac{x}{10}$ | Multiply both sides by $10$ $ 7 {\cdot 10} = \dfrac{x}{10} {\cdot 10} $ Simplify: $70 = \dfrac{x}{\cancel{10}} \cdot \cancel{10}$ $x = 70$ |
171 | Solve for $x$ : $5x = 3$ | Divide both sides by $5$ $ {\dfrac{\color{black}{5x}}{5}} = {\dfrac{\color{black}{3}}{5}} $ Simplify: $\dfrac{\cancel{5}x}{\cancel{5}} = \dfrac{3}{5}$ $x = \dfrac{3}{5}$ |
171 | Solve for $x$ : $5x = 4$ | Divide both sides by $5$ $ {\dfrac{\color{black}{5x}}{5}} = {\dfrac{\color{black}{4}}{5}} $ Simplify: $\dfrac{\cancel{5}x}{\cancel{5}} = \dfrac{4}{5}$ $x = \dfrac{4}{5}$ |
171 | Solve for $x$ : $2 = \dfrac{x}{6}$ | Multiply both sides by $6$ $ 2 {\cdot 6} = \dfrac{x}{6} {\cdot 6} $ Simplify: $12 = \dfrac{x}{\cancel{6}} \cdot \cancel{6}$ $x = 12$ |
171 | Solve for $x$ : $5 = \dfrac{x}{3}$ | Multiply both sides by $3$ $ 5 {\cdot 3} = \dfrac{x}{3} {\cdot 3} $ Simplify: $15 = \dfrac{x}{\cancel{3}} \cdot \cancel{3}$ $x = 15$ |
171 | Solve for $x$ : $8 = \dfrac{x}{6}$ | Multiply both sides by $6$ $ 8 {\cdot 6} = \dfrac{x}{6} {\cdot 6} $ Simplify: $48 = \dfrac{x}{\cancel{6}} \cdot \cancel{6}$ $x = 48$ |
171 | Solve for $x$ : $4 = 5x$ | Divide both sides by $5$ $ {\dfrac{\color{black}{4}}{5}} = {\dfrac{\color{black}{5x}}{5}} $ Simplify: $\dfrac{4}{5} = \dfrac{\cancel{5}x}{\cancel{5}}$ $x = \dfrac{4}{5}$ |
171 | Solve for $x$ : $2 = \dfrac{x}{5}$ | Multiply both sides by $5$ $ 2 {\cdot 5} = \dfrac{x}{5} {\cdot 5} $ Simplify: $10 = \dfrac{x}{\cancel{5}} \cdot \cancel{5}$ $x = 10$ |
171 | Solve for $x$ : $8x = 10$ | Divide both sides by $8$ $ {\dfrac{\color{black}{8x}}{8}} = {\dfrac{\color{black}{10}}{8}} $ Simplify: $\dfrac{\cancel{8}x}{\cancel{8}} = \dfrac{5}{4}$ $x = \dfrac{5}{4}$ |
171 | Solve for $x$ : $3x = 3$ | Divide both sides by $3$ $ {\dfrac{\color{black}{3x}}{3}} = {\dfrac{\color{black}{3}}{3}} $ Simplify: $\dfrac{\cancel{3}x}{\cancel{3}} = 1$ $x = 1$ |
171 | Solve for $x$ : $6x = 7$ | Divide both sides by $6$ $ {\dfrac{\color{black}{6x}}{6}} = {\dfrac{\color{black}{7}}{6}} $ Simplify: $\dfrac{\cancel{6}x}{\cancel{6}} = \dfrac{7}{6}$ $x = \dfrac{7}{6}$ |
171 | Solve for $x$ : $\dfrac{x}{8} = 4$ | Multiply both sides by $8$ $ \dfrac{x}{8} {\cdot 8} = 4 {\cdot 8} $ Simplify: $\dfrac{x}{\cancel{8}} \cdot \cancel{8} = 32$ $x = 32$ |
171 | Solve for $x$ : $\dfrac{x}{5} = 7$ | Multiply both sides by $5$ $ \dfrac{x}{5} {\cdot 5} = 7 {\cdot 5} $ Simplify: $\dfrac{x}{\cancel{5}} \cdot \cancel{5} = 35$ $x = 35$ |
171 | Solve for $x$ : $3 = \dfrac{x}{3}$ | Multiply both sides by $3$ $ 3 {\cdot 3} = \dfrac{x}{3} {\cdot 3} $ Simplify: $9 = \dfrac{x}{\cancel{3}} \cdot \cancel{3}$ $x = 9$ |
171 | Solve for $x$ : $3 = \dfrac{x}{7}$ | Multiply both sides by $7$ $ 3 {\cdot 7} = \dfrac{x}{7} {\cdot 7} $ Simplify: $21 = \dfrac{x}{\cancel{7}} \cdot \cancel{7}$ $x = 21$ |
171 | Solve for $x$ : $6x = 9$ | Divide both sides by $6$ $ {\dfrac{\color{black}{6x}}{6}} = {\dfrac{\color{black}{9}}{6}} $ Simplify: $\dfrac{\cancel{6}x}{\cancel{6}} = \dfrac{3}{2}$ $x = \dfrac{3}{2}$ |
171 | Solve for $x$ : $7 = 10x$ | Divide both sides by $10$ $ {\dfrac{\color{black}{7}}{10}} = {\dfrac{\color{black}{10x}}{10}} $ Simplify: $\dfrac{7}{10} = \dfrac{\cancel{10}x}{\cancel{10}}$ $x = \dfrac{7}{10}$ |
171 | Solve for $x$ : $\dfrac{x}{4} = 2$ | Multiply both sides by $4$ $ \dfrac{x}{4} {\cdot 4} = 2 {\cdot 4} $ Simplify: $\dfrac{x}{\cancel{4}} \cdot \cancel{4} = 8$ $x = 8$ |
171 | Solve for $x$ : $6 = \dfrac{x}{5}$ | Multiply both sides by $5$ $ 6 {\cdot 5} = \dfrac{x}{5} {\cdot 5} $ Simplify: $30 = \dfrac{x}{\cancel{5}} \cdot \cancel{5}$ $x = 30$ |
171 | Solve for $x$ : $9x = 5$ | Divide both sides by $9$ $ {\dfrac{\color{black}{9x}}{9}} = {\dfrac{\color{black}{5}}{9}} $ Simplify: $\dfrac{\cancel{9}x}{\cancel{9}} = \dfrac{5}{9}$ $x = \dfrac{5}{9}$ |
171 | Solve for $x$ : $\dfrac{x}{4} = 4$ | Multiply both sides by $4$ $ \dfrac{x}{4} {\cdot 4} = 4 {\cdot 4} $ Simplify: $\dfrac{x}{\cancel{4}} \cdot \cancel{4} = 16$ $x = 16$ |
171 | Solve for $x$ : $4x = 4$ | Divide both sides by $4$ $ {\dfrac{\color{black}{4x}}{4}} = {\dfrac{\color{black}{4}}{4}} $ Simplify: $\dfrac{\cancel{4}x}{\cancel{4}} = 1$ $x = 1$ |
171 | Solve for $x$ : $2 = 10x$ | Divide both sides by $10$ $ {\dfrac{\color{black}{2}}{10}} = {\dfrac{\color{black}{10x}}{10}} $ Simplify: $\dfrac{1}{5} = \dfrac{\cancel{10}x}{\cancel{10}}$ $x = \dfrac{1}{5}$ |
171 | Solve for $x$ : $4 = 9x$ | Divide both sides by $9$ $ {\dfrac{\color{black}{4}}{9}} = {\dfrac{\color{black}{9x}}{9}} $ Simplify: $\dfrac{4}{9} = \dfrac{\cancel{9}x}{\cancel{9}}$ $x = \dfrac{4}{9}$ |
171 | Solve for $x$ : $\dfrac{x}{5} = 5$ | Multiply both sides by $5$ $ \dfrac{x}{5} {\cdot 5} = 5 {\cdot 5} $ Simplify: $\dfrac{x}{\cancel{5}} \cdot \cancel{5} = 25$ $x = 25$ |
171 | Solve for $x$ : $6x = 3$ | Divide both sides by $6$ $ {\dfrac{\color{black}{6x}}{6}} = {\dfrac{\color{black}{3}}{6}} $ Simplify: $\dfrac{\cancel{6}x}{\cancel{6}} = \dfrac{1}{2}$ $x = \dfrac{1}{2}$ |
171 | Solve for $x$ : $3 = \dfrac{x}{4}$ | Multiply both sides by $4$ $ 3 {\cdot 4} = \dfrac{x}{4} {\cdot 4} $ Simplify: $12 = \dfrac{x}{\cancel{4}} \cdot \cancel{4}$ $x = 12$ |
171 | Solve for $x$ : $2 = \dfrac{x}{2}$ | Multiply both sides by $2$ $ 2 {\cdot 2} = \dfrac{x}{2} {\cdot 2} $ Simplify: $4 = \dfrac{x}{\cancel{2}} \cdot \cancel{2}$ $x = 4$ |
171 | Solve for $x$ : $8 = \dfrac{x}{9}$ | Multiply both sides by $9$ $ 8 {\cdot 9} = \dfrac{x}{9} {\cdot 9} $ Simplify: $72 = \dfrac{x}{\cancel{9}} \cdot \cancel{9}$ $x = 72$ |
171 | Solve for $x$ : $4 = \dfrac{x}{10}$ | Multiply both sides by $10$ $ 4 {\cdot 10} = \dfrac{x}{10} {\cdot 10} $ Simplify: $40 = \dfrac{x}{\cancel{10}} \cdot \cancel{10}$ $x = 40$ |
171 | Solve for $x$ : $4 = \dfrac{x}{8}$ | Multiply both sides by $8$ $ 4 {\cdot 8} = \dfrac{x}{8} {\cdot 8} $ Simplify: $32 = \dfrac{x}{\cancel{8}} \cdot \cancel{8}$ $x = 32$ |
171 | Solve for $x$ : $5 = 9x$ | Divide both sides by $9$ $ {\dfrac{\color{black}{5}}{9}} = {\dfrac{\color{black}{9x}}{9}} $ Simplify: $\dfrac{5}{9} = \dfrac{\cancel{9}x}{\cancel{9}}$ $x = \dfrac{5}{9}$ |
171 | Solve for $x$ : $10 = 10x$ | Divide both sides by $10$ $ {\dfrac{\color{black}{10}}{10}} = {\dfrac{\color{black}{10x}}{10}} $ Simplify: $1 = \dfrac{\cancel{10}x}{\cancel{10}}$ $x = 1$ |
171 | Solve for $x$ : $2 = \dfrac{x}{3}$ | Multiply both sides by $3$ $ 2 {\cdot 3} = \dfrac{x}{3} {\cdot 3} $ Simplify: $6 = \dfrac{x}{\cancel{3}} \cdot \cancel{3}$ $x = 6$ |
171 | Solve for $x$ : $\dfrac{x}{10} = 7$ | Multiply both sides by $10$ $ \dfrac{x}{10} {\cdot 10} = 7 {\cdot 10} $ Simplify: $\dfrac{x}{\cancel{10}} \cdot \cancel{10} = 70$ $x = 70$ |
171 | Solve for $x$ : $8 = 2x$ | Divide both sides by $2$ $ {\dfrac{\color{black}{8}}{2}} = {\dfrac{\color{black}{2x}}{2}} $ Simplify: $4 = \dfrac{\cancel{2}x}{\cancel{2}}$ $x = 4$ |
171 | Solve for $x$ : $4 = \dfrac{x}{7}$ | Multiply both sides by $7$ $ 4 {\cdot 7} = \dfrac{x}{7} {\cdot 7} $ Simplify: $28 = \dfrac{x}{\cancel{7}} \cdot \cancel{7}$ $x = 28$ |
171 | Solve for $x$ : $7 = 5x$ | Divide both sides by $5$ $ {\dfrac{\color{black}{7}}{5}} = {\dfrac{\color{black}{5x}}{5}} $ Simplify: $\dfrac{7}{5} = \dfrac{\cancel{5}x}{\cancel{5}}$ $x = \dfrac{7}{5}$ |
171 | Solve for $x$ : $2x = 10$ | Divide both sides by $2$ $ {\dfrac{\color{black}{2x}}{2}} = {\dfrac{\color{black}{10}}{2}} $ Simplify: $\dfrac{\cancel{2}x}{\cancel{2}} = 5$ $x = 5$ |
171 | Solve for $x$ : $3x = 8$ | Divide both sides by $3$ $ {\dfrac{\color{black}{3x}}{3}} = {\dfrac{\color{black}{8}}{3}} $ Simplify: $\dfrac{\cancel{3}x}{\cancel{3}} = \dfrac{8}{3}$ $x = \dfrac{8}{3}$ |
171 | Solve for $x$ : $4 = 2x$ | Divide both sides by $2$ $ {\dfrac{\color{black}{4}}{2}} = {\dfrac{\color{black}{2x}}{2}} $ Simplify: $2 = \dfrac{\cancel{2}x}{\cancel{2}}$ $x = 2$ |
171 | Solve for $x$ : $3 = 8x$ | Divide both sides by $8$ $ {\dfrac{\color{black}{3}}{8}} = {\dfrac{\color{black}{8x}}{8}} $ Simplify: $\dfrac{3}{8} = \dfrac{\cancel{8}x}{\cancel{8}}$ $x = \dfrac{3}{8}$ |
171 | Solve for $x$ : $7 = 2x$ | Divide both sides by $2$ $ {\dfrac{\color{black}{7}}{2}} = {\dfrac{\color{black}{2x}}{2}} $ Simplify: $\dfrac{7}{2} = \dfrac{\cancel{2}x}{\cancel{2}}$ $x = \dfrac{7}{2}$ |
171 | Solve for $x$ : $5 = 2x$ | Divide both sides by $2$ $ {\dfrac{\color{black}{5}}{2}} = {\dfrac{\color{black}{2x}}{2}} $ Simplify: $\dfrac{5}{2} = \dfrac{\cancel{2}x}{\cancel{2}}$ $x = \dfrac{5}{2}$ |
171 | Solve for $x$ : $4 = \dfrac{x}{3}$ | Multiply both sides by $3$ $ 4 {\cdot 3} = \dfrac{x}{3} {\cdot 3} $ Simplify: $12 = \dfrac{x}{\cancel{3}} \cdot \cancel{3}$ $x = 12$ |
171 | Solve for $x$ : $\dfrac{x}{9} = 4$ | Multiply both sides by $9$ $ \dfrac{x}{9} {\cdot 9} = 4 {\cdot 9} $ Simplify: $\dfrac{x}{\cancel{9}} \cdot \cancel{9} = 36$ $x = 36$ |
171 | Solve for $x$ : $7 = \dfrac{x}{4}$ | Multiply both sides by $4$ $ 7 {\cdot 4} = \dfrac{x}{4} {\cdot 4} $ Simplify: $28 = \dfrac{x}{\cancel{4}} \cdot \cancel{4}$ $x = 28$ |
171 | Solve for $x$ : $8 = 8x$ | Divide both sides by $8$ $ {\dfrac{\color{black}{8}}{8}} = {\dfrac{\color{black}{8x}}{8}} $ Simplify: $1 = \dfrac{\cancel{8}x}{\cancel{8}}$ $x = 1$ |
171 | Solve for $x$ : $\dfrac{x}{4} = 9$ | Multiply both sides by $4$ $ \dfrac{x}{4} {\cdot 4} = 9 {\cdot 4} $ Simplify: $\dfrac{x}{\cancel{4}} \cdot \cancel{4} = 36$ $x = 36$ |
171 | Solve for $x$ : $6 = \dfrac{x}{9}$ | Multiply both sides by $9$ $ 6 {\cdot 9} = \dfrac{x}{9} {\cdot 9} $ Simplify: $54 = \dfrac{x}{\cancel{9}} \cdot \cancel{9}$ $x = 54$ |
171 | Solve for $x$ : $5x = 7$ | Divide both sides by $5$ $ {\dfrac{\color{black}{5x}}{5}} = {\dfrac{\color{black}{7}}{5}} $ Simplify: $\dfrac{\cancel{5}x}{\cancel{5}} = \dfrac{7}{5}$ $x = \dfrac{7}{5}$ |
171 | Solve for $x$ : $\dfrac{x}{4} = 3$ | Multiply both sides by $4$ $ \dfrac{x}{4} {\cdot 4} = 3 {\cdot 4} $ Simplify: $\dfrac{x}{\cancel{4}} \cdot \cancel{4} = 12$ $x = 12$ |
171 | Solve for $x$ : $\dfrac{x}{5} = 9$ | Multiply both sides by $5$ $ \dfrac{x}{5} {\cdot 5} = 9 {\cdot 5} $ Simplify: $\dfrac{x}{\cancel{5}} \cdot \cancel{5} = 45$ $x = 45$ |
171 | Solve for $x$ : $4 = 8x$ | Divide both sides by $8$ $ {\dfrac{\color{black}{4}}{8}} = {\dfrac{\color{black}{8x}}{8}} $ Simplify: $\dfrac{1}{2} = \dfrac{\cancel{8}x}{\cancel{8}}$ $x = \dfrac{1}{2}$ |
171 | Solve for $x$ : $4 = 10x$ | Divide both sides by $10$ $ {\dfrac{\color{black}{4}}{10}} = {\dfrac{\color{black}{10x}}{10}} $ Simplify: $\dfrac{2}{5} = \dfrac{\cancel{10}x}{\cancel{10}}$ $x = \dfrac{2}{5}$ |
171 | Solve for $x$ : $\dfrac{x}{2} = 8$ | Multiply both sides by $2$ $ \dfrac{x}{2} {\cdot 2} = 8 {\cdot 2} $ Simplify: $\dfrac{x}{\cancel{2}} \cdot \cancel{2} = 16$ $x = 16$ |
171 | Solve for $x$ : $5x = 6$ | Divide both sides by $5$ $ {\dfrac{\color{black}{5x}}{5}} = {\dfrac{\color{black}{6}}{5}} $ Simplify: $\dfrac{\cancel{5}x}{\cancel{5}} = \dfrac{6}{5}$ $x = \dfrac{6}{5}$ |
171 | Solve for $x$ : $2 = 7x$ | Divide both sides by $7$ $ {\dfrac{\color{black}{2}}{7}} = {\dfrac{\color{black}{7x}}{7}} $ Simplify: $\dfrac{2}{7} = \dfrac{\cancel{7}x}{\cancel{7}}$ $x = \dfrac{2}{7}$ |
171 | Solve for $x$ : $9 = 7x$ | Divide both sides by $7$ $ {\dfrac{\color{black}{9}}{7}} = {\dfrac{\color{black}{7x}}{7}} $ Simplify: $\dfrac{9}{7} = \dfrac{\cancel{7}x}{\cancel{7}}$ $x = \dfrac{9}{7}$ |
171 | Solve for $x$ : $8 = 3x$ | Divide both sides by $3$ $ {\dfrac{\color{black}{8}}{3}} = {\dfrac{\color{black}{3x}}{3}} $ Simplify: $\dfrac{8}{3} = \dfrac{\cancel{3}x}{\cancel{3}}$ $x = \dfrac{8}{3}$ |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.