Answer
$-\dfrac{3x+35}{(x-5)(x+5)}$
Work Step by Step
Since the least common multiple (LCM) of the denominator is $(x-5)(x+5)$, then we have
$$
\frac{2}{x+5}-\frac{5}{x-5}=\frac{2(x-5)}{(x-5)(x+5)}-\frac{5(x+5)}{(x-5)(x+5)}
.$$
Now, since the denominators are the same, then we have
$$
\frac{2(x-5)}{(x-5)(x+5)}-\frac{5(x+5)}{(x-5)(x+5)}=\frac{2x-10-5x-25}{(x-5)(x+5)}\\
=\frac{-3x-35}{(x-5)(x+5)}=-\frac{3x+35}{(x-5)(x+5)}
.$$
