#### Answer

$\frac{2x-6}{x-5}$ - $\frac{x+4}{x-5}$= notice the parentheses
$\frac{2x-6-(x+4)}{x-5}$ =$\frac{2x-6-x-4}{x-5}$
$\frac{2x-x-6-4}{x-5}$ =$\frac{x-10}{x-5}$

#### Work Step by Step

$\frac{2x-6}{x-5}$ - $\frac{x+4}{x-5}$=
$\frac{2x-6-(x+4)}{x-5}$ =$\frac{2x-6-x-4}{x-5}$
$\frac{2x-x-6-4}{x-5}$ =$\frac{x-10}{x-5}$