2(2x+8)-4=2(x-6)+8

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Solution for 2(2x+8)-4=2(x-6)+8 equation: 


Simplifying
2(2x + 8) + -4 = 2(x + -6) + 8

Reorder the terms:
2(8 + 2x) + -4 = 2(x + -6) + 8
(8 * 2 + 2x * 2) + -4 = 2(x + -6) + 8
(16 + 4x) + -4 = 2(x + -6) + 8

Reorder the terms:
16 + -4 + 4x = 2(x + -6) + 8

Combine like terms: 16 + -4 = 12
12 + 4x = 2(x + -6) + 8

Reorder the terms:
12 + 4x = 2(-6 + x) + 8
12 + 4x = (-6 * 2 + x * 2) + 8
12 + 4x = (-12 + 2x) + 8

Reorder the terms:
12 + 4x = -12 + 8 + 2x

Combine like terms: -12 + 8 = -4
12 + 4x = -4 + 2x

Solving
12 + 4x = -4 + 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.
12 + 4x + -2x = -4 + 2x + -2x

Combine like terms: 4x + -2x = 2x
12 + 2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 2x = -4 + 0
12 + 2x = -4

Add '-12' to each side of the equation.
12 + -12 + 2x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -4 + -12
2x = -4 + -12

Combine like terms: -4 + -12 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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