Answer
$x=5$
Work Step by Step
First, determine the least common denominator of the original problem by multiplying the denominators together. Next, distribute the numbers and then get $x$ to one side. Then divide both sides to get the final answer.
$\frac{3x}{5}-x=\frac{x}{10}-\frac{5}{2}$
$(10)(\frac{3x}{5})-x(10)=(10)(\frac{x}{10})-\frac{5}{2}(10)$
$6x-10x=x-25$
$-4x-x=-25$
$-5x=-25$
$x=5$
