8(x+1)+4=3(2x-8)-16

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Solution for 8(x+1)+4=3(2x-8)-16 equation: 


Simplifying
8(x + 1) + 4 = 3(2x + -8) + -16

Reorder the terms:
8(1 + x) + 4 = 3(2x + -8) + -16
(1 * 8 + x * 8) + 4 = 3(2x + -8) + -16
(8 + 8x) + 4 = 3(2x + -8) + -16

Reorder the terms:
8 + 4 + 8x = 3(2x + -8) + -16

Combine like terms: 8 + 4 = 12
12 + 8x = 3(2x + -8) + -16

Reorder the terms:
12 + 8x = 3(-8 + 2x) + -16
12 + 8x = (-8 * 3 + 2x * 3) + -16
12 + 8x = (-24 + 6x) + -16

Reorder the terms:
12 + 8x = -24 + -16 + 6x

Combine like terms: -24 + -16 = -40
12 + 8x = -40 + 6x

Solving
12 + 8x = -40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 8x + -6x = -40 + 6x + -6x

Combine like terms: 8x + -6x = 2x
12 + 2x = -40 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 2x = -40 + 0
12 + 2x = -40

Add '-12' to each side of the equation.
12 + -12 + 2x = -40 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -40 + -12
2x = -40 + -12

Combine like terms: -40 + -12 = -52
2x = -52

Divide each side by '2'.
x = -26

Simplifying
x = -26

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