4(x+16)-12=2(x-20)+4-2x

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Solution for 4(x+16)-12=2(x-20)+4-2x equation: 


Simplifying
4(x + 16) + -12 = 2(x + -20) + 4 + -2x

Reorder the terms:
4(16 + x) + -12 = 2(x + -20) + 4 + -2x
(16 * 4 + x * 4) + -12 = 2(x + -20) + 4 + -2x
(64 + 4x) + -12 = 2(x + -20) + 4 + -2x

Reorder the terms:
64 + -12 + 4x = 2(x + -20) + 4 + -2x

Combine like terms: 64 + -12 = 52
52 + 4x = 2(x + -20) + 4 + -2x

Reorder the terms:
52 + 4x = 2(-20 + x) + 4 + -2x
52 + 4x = (-20 * 2 + x * 2) + 4 + -2x
52 + 4x = (-40 + 2x) + 4 + -2x

Reorder the terms:
52 + 4x = -40 + 4 + 2x + -2x

Combine like terms: -40 + 4 = -36
52 + 4x = -36 + 2x + -2x

Combine like terms: 2x + -2x = 0
52 + 4x = -36 + 0
52 + 4x = -36

Solving
52 + 4x = -36

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 4x = -36 + -52

Combine like terms: 52 + -52 = 0
0 + 4x = -36 + -52
4x = -36 + -52

Combine like terms: -36 + -52 = -88
4x = -88

Divide each side by '4'.
x = -22

Simplifying
x = -22

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