Answer
$x=-\frac{3}{4}$
Work Step by Step
$\frac{3}{2}x+2=\frac{1}{2}-\frac{1}{2}x$ $\longrightarrow$ addition property of equality
$\frac{3}{2}x+2-2+\frac{1}{2}x=\frac{1}{2}-\frac{1}{2}x-2+\frac{1}{2}x$ $\longrightarrow$ combine like terms
$2x=-\frac{3}{2}$ $\longrightarrow$ multiplication property of equality
$2x\div2=-\frac{3}{2}\div2$ $\longrightarrow$ simplify
$x=-\frac{3}{4}$
