2(6w+1)=4(w-5)-2

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Solution for 2(6w+1)=4(w-5)-2 equation: 


Simplifying
2(6w + 1) = 4(w + -5) + -2

Reorder the terms:
2(1 + 6w) = 4(w + -5) + -2
(1 * 2 + 6w * 2) = 4(w + -5) + -2
(2 + 12w) = 4(w + -5) + -2

Reorder the terms:
2 + 12w = 4(-5 + w) + -2
2 + 12w = (-5 * 4 + w * 4) + -2
2 + 12w = (-20 + 4w) + -2

Reorder the terms:
2 + 12w = -20 + -2 + 4w

Combine like terms: -20 + -2 = -22
2 + 12w = -22 + 4w

Solving
2 + 12w = -22 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
2 + 12w + -4w = -22 + 4w + -4w

Combine like terms: 12w + -4w = 8w
2 + 8w = -22 + 4w + -4w

Combine like terms: 4w + -4w = 0
2 + 8w = -22 + 0
2 + 8w = -22

Add '-2' to each side of the equation.
2 + -2 + 8w = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 8w = -22 + -2
8w = -22 + -2

Combine like terms: -22 + -2 = -24
8w = -24

Divide each side by '8'.
w = -3

Simplifying
w = -3

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