4(x+1)-5x=2(x-8)+8

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Solution for 4(x+1)-5x=2(x-8)+8 equation: 


Simplifying
4(x + 1) + -5x = 2(x + -8) + 8

Reorder the terms:
4(1 + x) + -5x = 2(x + -8) + 8
(1 * 4 + x * 4) + -5x = 2(x + -8) + 8
(4 + 4x) + -5x = 2(x + -8) + 8

Combine like terms: 4x + -5x = -1x
4 + -1x = 2(x + -8) + 8

Reorder the terms:
4 + -1x = 2(-8 + x) + 8
4 + -1x = (-8 * 2 + x * 2) + 8
4 + -1x = (-16 + 2x) + 8

Reorder the terms:
4 + -1x = -16 + 8 + 2x

Combine like terms: -16 + 8 = -8
4 + -1x = -8 + 2x

Solving
4 + -1x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + -1x + -2x = -8 + 2x + -2x

Combine like terms: -1x + -2x = -3x
4 + -3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -3x = -8 + 0
4 + -3x = -8

Add '-4' to each side of the equation.
4 + -4 + -3x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -8 + -4
-3x = -8 + -4

Combine like terms: -8 + -4 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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