#### Answer

$\frac{3x}{8}$

#### Work Step by Step

By inspection, we see that the LCM of the denominators is $8$. Therefore, we create a common denominator using this LCM and obtain:
$\frac{x-2}{4}+\frac{x+4}{8}$
=$\frac{2(x-2)+x+4}{8}$
=$\frac{2x-4+x+4}{8}$
=$\frac{3x+0}{8}$
=$\frac{3x}{8}$