2(w+2)+u=3(w-1)+6

Solution for 2(w+2)+u=3(w-1)+6 equation:

Simplifying
2(w + 2) + u = 3(w + -1) + 6

Reorder the terms:
2(2 + w) + u = 3(w + -1) + 6
(2 * 2 + w * 2) + u = 3(w + -1) + 6
(4 + 2w) + u = 3(w + -1) + 6

Reorder the terms:
4 + u + 2w = 3(w + -1) + 6

Reorder the terms:
4 + u + 2w = 3(-1 + w) + 6
4 + u + 2w = (-1 * 3 + w * 3) + 6
4 + u + 2w = (-3 + 3w) + 6

Reorder the terms:
4 + u + 2w = -3 + 6 + 3w

Combine like terms: -3 + 6 = 3
4 + u + 2w = 3 + 3w

Solving
4 + u + 2w = 3 + 3w

Solving for variable 'u'.

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

Add '-4' to each side of the equation.
4 + u + -4 + 2w = 3 + -4 + 3w

Reorder the terms:
4 + -4 + u + 2w = 3 + -4 + 3w

Combine like terms: 4 + -4 = 0
0 + u + 2w = 3 + -4 + 3w
u + 2w = 3 + -4 + 3w

Combine like terms: 3 + -4 = -1
u + 2w = -1 + 3w

Add '-2w' to each side of the equation.
u + 2w + -2w = -1 + 3w + -2w

Combine like terms: 2w + -2w = 0
u + 0 = -1 + 3w + -2w
u = -1 + 3w + -2w

Combine like terms: 3w + -2w = 1w
u = -1 + 1w

Simplifying
u = -1 + 1w