Answer
w = $-\frac{6}{5}$
Work Step by Step
$\frac{3(w + 2)}{4}$ = 2w + 3
Distribute:
$\frac{3w + 6}{4}$ = 2w + 3
Multiply both sides by 4:
3w + 6 = 4(2w + 3)
3w + 6 = 8w + 12
Subtract 6 from both sides:
3w = 8w + 6
Subtract 8w from both sides:
-5w = 6
Divide both sides by -5:
w = $-\frac{6}{5}$