#### Answer

$\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}=\dfrac{1}{x-3}$

#### Work Step by Step

$\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}$
Evaluate the sum of the two rational expressions:
$\dfrac{x}{x^{2}+2x-15}+\dfrac{5}{x^{2}+2x-15}=\dfrac{x+5}{x^{2}+2x-15}=...$
Factor the denominator of the resulting expression and simplify:
$...=\dfrac{x+5}{(x+5)(x-3)}=\dfrac{1}{x-3}$