Answer
$-x+10$
Work Step by Step
Distribute to multiply $12$ by the terms inside the parentheses. Then divide to get rid of the fractions. Then distribute to multiply again and simplify.
$12(\frac{x+2}{4}-\frac{x-1}{3})$
$\frac{12(x+2)}{4}-\frac{12(x-1)}{3}$
$3(x+2)-4(x-1)$
$3x+6-4x+4$
$-x+10$