2(2-2x)=-3(x-4)-5

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Solution for 2(2-2x)=-3(x-4)-5 equation: 


Simplifying
2(2 + -2x) = -3(x + -4) + -5
(2 * 2 + -2x * 2) = -3(x + -4) + -5
(4 + -4x) = -3(x + -4) + -5

Reorder the terms:
4 + -4x = -3(-4 + x) + -5
4 + -4x = (-4 * -3 + x * -3) + -5
4 + -4x = (12 + -3x) + -5

Reorder the terms:
4 + -4x = 12 + -5 + -3x

Combine like terms: 12 + -5 = 7
4 + -4x = 7 + -3x

Solving
4 + -4x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + -4x + 3x = 7 + -3x + 3x

Combine like terms: -4x + 3x = -1x
4 + -1x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + -1x = 7 + 0
4 + -1x = 7

Add '-4' to each side of the equation.
4 + -4 + -1x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 7 + -4
-1x = 7 + -4

Combine like terms: 7 + -4 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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