W-5+2(2w+4)=-3(w+1)

Solution for W-5+2(2w+4)=-3(w+1) equation:

Simplifying
W + -5 + 2(2w + 4) = -3(w + 1)

Reorder the terms:
W + -5 + 2(4 + 2w) = -3(w + 1)
W + -5 + (4 * 2 + 2w * 2) = -3(w + 1)
W + -5 + (8 + 4w) = -3(w + 1)

Reorder the terms:
-5 + 8 + W + 4w = -3(w + 1)

Combine like terms: -5 + 8 = 3
3 + W + 4w = -3(w + 1)

Reorder the terms:
3 + W + 4w = -3(1 + w)
3 + W + 4w = (1 * -3 + w * -3)
3 + W + 4w = (-3 + -3w)

Solving
3 + W + 4w = -3 + -3w

Solving for variable 'W'.

Move all terms containing W to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + W + -3 + 4w = -3 + -3 + -3w

Reorder the terms:
3 + -3 + W + 4w = -3 + -3 + -3w

Combine like terms: 3 + -3 = 0
0 + W + 4w = -3 + -3 + -3w
W + 4w = -3 + -3 + -3w

Combine like terms: -3 + -3 = -6
W + 4w = -6 + -3w

Add '-4w' to each side of the equation.
W + 4w + -4w = -6 + -3w + -4w

Combine like terms: 4w + -4w = 0
W + 0 = -6 + -3w + -4w
W = -6 + -3w + -4w

Combine like terms: -3w + -4w = -7w
W = -6 + -7w

Simplifying
W = -6 + -7w