# How do you simplify (1/(x-5)-x/(x^2-25))/(5/(2x))?

$\implies \frac{\frac{x + 5}{\left(x + 5\right) \left(x - 5\right)} - \frac{x}{{x}^{2} - 25}}{\frac{5}{2 x}}$
$\implies \frac{\frac{5}{{x}^{2} - 25}}{\frac{5}{2 x}}$
$\implies \frac{2 x}{{x}^{2} - 25}$
If you insist on factored form, $= \frac{2 x}{\left(x + 5\right) \left(x - 5\right)}$.