Answer
$x=-20$
Work Step by Step
$\frac{1}{2}x-5=\frac{3}{4}x$ $\longrightarrow$ addition property of equality
$\frac{1}{2}x-5-\frac{1}{2}x=\frac{3}{4}x-\frac{1}{2}x$ $\longrightarrow$ combine like terms
$-5=\frac{1}{4}x$ $\longrightarrow$ multiplication property of equality
$-5\times4=\frac{1}{4}x\times4$ $\longrightarrow$ simplify
$-20=x$