Solve for x
x=10
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30\left(\frac{x}{5}-\frac{x}{2}\right)+10x=10
Multiply both sides of the equation by 10, the least common multiple of 5,2.
30\left(-\frac{3}{10}\right)x+10x=10
Combine \frac{x}{5} and -\frac{x}{2} to get -\frac{3}{10}x.
\frac{30\left(-3\right)}{10}x+10x=10
Express 30\left(-\frac{3}{10}\right) as a single fraction.
\frac{-90}{10}x+10x=10
Multiply 30 and -3 to get -90.
-9x+10x=10
Divide -90 by 10 to get -9.
x=10
Combine -9x and 10x to get x.
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