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

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


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

Reorder the terms:
4(8 + x) + x = 2(x + -4) + -8
(8 * 4 + x * 4) + x = 2(x + -4) + -8
(32 + 4x) + x = 2(x + -4) + -8

Combine like terms: 4x + x = 5x
32 + 5x = 2(x + -4) + -8

Reorder the terms:
32 + 5x = 2(-4 + x) + -8
32 + 5x = (-4 * 2 + x * 2) + -8
32 + 5x = (-8 + 2x) + -8

Reorder the terms:
32 + 5x = -8 + -8 + 2x

Combine like terms: -8 + -8 = -16
32 + 5x = -16 + 2x

Solving
32 + 5x = -16 + 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.
32 + 5x + -2x = -16 + 2x + -2x

Combine like terms: 5x + -2x = 3x
32 + 3x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + 3x = -16 + 0
32 + 3x = -16

Add '-32' to each side of the equation.
32 + -32 + 3x = -16 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = -16 + -32
3x = -16 + -32

Combine like terms: -16 + -32 = -48
3x = -48

Divide each side by '3'.
x = -16

Simplifying
x = -16

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