# How do you simplify \frac{2}{x+2}-\frac{3}{2x-5}?

$\frac{2}{x + 2} - \frac{3}{2 x - 5}$
$\implies \frac{2 \left(2 x - 5\right) - 3 \left(x + 2\right)}{\left(x + 2\right) \left(2 x - 5\right)}$
$\implies \frac{4 x - 10 - 3 x - 6}{\left(x + 2\right) \left(2 x - 5\right)}$
$\implies \frac{x - 16}{\left(x + 2\right) \left(2 x - 5\right)}$