Answer
$-20$
Work Step by Step
For easier work, it is better to get rid of the fractions.
This can be achieved by multiplying the LCD of $4$ on both sides of the equation to obtain:
$4(\frac{x}{2}) = 4(\frac{3x}{4}+5)
\\\frac{4x}{2} = \frac{12x}{4} +20
\\2x = 3x+20$
Subtract $2x$ and $20$ on both sides to obtain:
$-20=3x-2x
\\-20=x$
Check:
$\begin{array}{ccc}
&\frac{-20}{2} &= &\frac{3(-20)}{4}+5
\\&-10 &= &\frac{-60}{4}+5
\\&-10 &= &-15+5
\\&-10 &= &-10\end{array}$
