Answer
$-\frac{1}{x(x+5)}$.
Work Step by Step
The given expression is
$=\frac{\frac{1}{x+5}-\frac{1}{x}}{5}$
Multiply the numerator and the denominator by $x(x+5)$.
$=\frac{x(x+5)}{x(x+5)}\cdot \frac{\frac{1}{x+5}-\frac{1}{x}}{5}$
Use the distributive property.
$=\frac{x(x+5)\cdot \frac{1}{(x+5)}-x(x+5)\cdot\frac{1}{x}}{5x(x+5)}$
Simplify.
$=\frac{x-(x+5)}{5x(x+5)}$
$=\frac{x-x-5}{5x(x+5)}$
$=\frac{-5}{5x(x+5)}$
$=-\frac{1}{x(x+5)}$.
