Answer
$$\frac{6x-20}{\left(x+5\right)\left(x-5\right)}$$
Work Step by Step
Ensuring that we have like denominators and then attempting to simplify, we find:
$$\frac{4\left(x-5\right)}{\left(x+5\right)\left(x-5\right)}+\frac{2x}{\left(x+5\right)\left(x-5\right)}\\ \frac{4\left(x-5\right)+2x}{\left(x+5\right)\left(x-5\right)}\\ \frac{6x-20}{\left(x+5\right)\left(x-5\right)}$$