Hi! It’s RoseI finished this ACT practice problem, but I’m not sure if I’m correct. Can you see if I am??

Given
[tex]\frac{2x-2}{x^2-x-12}[/tex]Given
[tex]\begin{gathered} \frac{2x-2}{x^2-x-12} \\ =\frac{2x}{(x+3)(x-4)}+\frac{-2}{(x+3)(x-4)} \end{gathered}[/tex]