2(2w-6)=6(x-6)+14

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Solution for 2(2w-6)=6(x-6)+14 equation: 


Simplifying
2(2w + -6) = 6(x + -6) + 14

Reorder the terms:
2(-6 + 2w) = 6(x + -6) + 14
(-6 * 2 + 2w * 2) = 6(x + -6) + 14
(-12 + 4w) = 6(x + -6) + 14

Reorder the terms:
-12 + 4w = 6(-6 + x) + 14
-12 + 4w = (-6 * 6 + x * 6) + 14
-12 + 4w = (-36 + 6x) + 14

Reorder the terms:
-12 + 4w = -36 + 14 + 6x

Combine like terms: -36 + 14 = -22
-12 + 4w = -22 + 6x

Solving
-12 + 4w = -22 + 6x

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + 4w = -22 + 12 + 6x

Combine like terms: -12 + 12 = 0
0 + 4w = -22 + 12 + 6x
4w = -22 + 12 + 6x

Combine like terms: -22 + 12 = -10
4w = -10 + 6x

Divide each side by '4'.
w = -2.5 + 1.5x

Simplifying
w = -2.5 + 1.5x

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