Answer
$\frac{2(5x-14)}{(x-2)(x-3)}; x \ne 2,3;$
Work Step by Step
$\frac{8}{(x-2)} + \frac{2}{(x-3)} = \frac{8(x-3)+2 (x-2)}{(x-2)(x-3)} ;x \ne 2,3;$
$= \frac{8x-24+2x-4}{(x-2)(x-3)} ;x \ne 2,3;$
$= \frac{10x-28}{(x-2)(x-3)} ;x \ne 2,3;$
$=\frac{2(5x-14)}{(x-2)(x-3)}; x \ne 2,3;$