How do you solve for w

-[5/(4w+12)] + 2 = -[6/(w+3)]

Solve for w?

-[5/(4w+12)] + 2 = -[6/(w+3)]
[5/(4w+12)] - 2 = 6/(w+3)
[5/4(w+3)] - 2 = 6/(w+3)
[5/(w+3)] - 8 = 24/(w+3)
5 - 8(w+3) = 24
5-8w-24 = 24
-8w-19 = 24
-8w = 24 + 19
-8w = 43
8w = -43
w = -43/8

Get w on one side by itself, and the other side will be your answer.

-5/[4(w + 3)] + 2 = -6/(w + 3)
-5 + 2 • 4(w + 3) = -6 • 4
-5 + 8w + 24 = -24
8w = -43
w = -43/8

-[5/(4w+12)] + 2 = -[6/(w+3)]
-[5/(4(w+3)] + 2 = -[6/(w+3)]
-5 + 8w + 24 = -24
8w = -43
w = -43/8