4(w+1)+6w=2(w+2)-8

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Solution for 4(w+1)+6w=2(w+2)-8 equation: 


Simplifying
4(w + 1) + 6w = 2(w + 2) + -8

Reorder the terms:
4(1 + w) + 6w = 2(w + 2) + -8
(1 * 4 + w * 4) + 6w = 2(w + 2) + -8
(4 + 4w) + 6w = 2(w + 2) + -8

Combine like terms: 4w + 6w = 10w
4 + 10w = 2(w + 2) + -8

Reorder the terms:
4 + 10w = 2(2 + w) + -8
4 + 10w = (2 * 2 + w * 2) + -8
4 + 10w = (4 + 2w) + -8

Reorder the terms:
4 + 10w = 4 + -8 + 2w

Combine like terms: 4 + -8 = -4
4 + 10w = -4 + 2w

Solving
4 + 10w = -4 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
4 + 10w + -2w = -4 + 2w + -2w

Combine like terms: 10w + -2w = 8w
4 + 8w = -4 + 2w + -2w

Combine like terms: 2w + -2w = 0
4 + 8w = -4 + 0
4 + 8w = -4

Add '-4' to each side of the equation.
4 + -4 + 8w = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 8w = -4 + -4
8w = -4 + -4

Combine like terms: -4 + -4 = -8
8w = -8

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

Simplifying
w = -1

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