Answer
$\frac{13}{6(x+2)}; x \ne -2;$
Work Step by Step
The given expression is
$\frac{3}{2x+4} + \frac{2}{3x+6}$
Factorizing the denominator,
$\frac{3}{2(x+2)} + \frac{2}{3(x+2)} ; $
Taking LCD, the denominator becomes $6(x+2)$ and the expression becomes
$\frac{3(3)}{6(x+2)} + \frac{2(2)}{6(x+2)} = \frac{9}{6(x+2)} + \frac{4}
{6(x+2)}$
$ = \frac{13}{6(x+2)} ; x \ne -2;$
