Answer
$\{-16\}$
Work Step by Step
Multiply both sides by $4$.
$4\left(\frac{1}{2}x-4\right)=4\left(\frac{3}{4}x\right)$
Use distributive property.
$4\cdot \frac{1}{2}x-4\cdot 4=4\cdot \frac{3}{4}x$
Simplify.
$2x-16=3x$
Subtract $2x$ from both sides.
$2x-16-2x=3x-2x$
Simplify.
$-16=x$
Hence, the solution to the equation is $\{-16\}$.
