Answer
$\dfrac{13}{x+2}$
Work Step by Step
When adding two fractions with common denominators, we add the numerators and copy the denominator. Therefore, the given expression, $
\dfrac{5}{x+2}+\dfrac{8}{x+2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{5+8}{x+2}
\\\\=
\dfrac{13}{x+2}
.\end{array}