11w+2(w+1)=2w-6+3w

Solution for 11w+2(w+1)=2w-6+3w equation:

Simplifying
11w + 2(w + 1) = 2w + -6 + 3w

Reorder the terms:
11w + 2(1 + w) = 2w + -6 + 3w
11w + (1 * 2 + w * 2) = 2w + -6 + 3w
11w + (2 + 2w) = 2w + -6 + 3w

Reorder the terms:
2 + 11w + 2w = 2w + -6 + 3w

Combine like terms: 11w + 2w = 13w
2 + 13w = 2w + -6 + 3w

Reorder the terms:
2 + 13w = -6 + 2w + 3w

Combine like terms: 2w + 3w = 5w
2 + 13w = -6 + 5w

Solving
2 + 13w = -6 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
2 + 13w + -5w = -6 + 5w + -5w

Combine like terms: 13w + -5w = 8w
2 + 8w = -6 + 5w + -5w

Combine like terms: 5w + -5w = 0
2 + 8w = -6 + 0
2 + 8w = -6

Add '-2' to each side of the equation.
2 + -2 + 8w = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 8w = -6 + -2
8w = -6 + -2

Combine like terms: -6 + -2 = -8
8w = -8

Divide each side by '8'.
w = -1

Simplifying
w = -1