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

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


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

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

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

Combine like terms: 8 + 2 = 10
10 + 4x = 8(2x + 8) + -6

Reorder the terms:
10 + 4x = 8(8 + 2x) + -6
10 + 4x = (8 * 8 + 2x * 8) + -6
10 + 4x = (64 + 16x) + -6

Reorder the terms:
10 + 4x = 64 + -6 + 16x

Combine like terms: 64 + -6 = 58
10 + 4x = 58 + 16x

Solving
10 + 4x = 58 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
10 + 4x + -16x = 58 + 16x + -16x

Combine like terms: 4x + -16x = -12x
10 + -12x = 58 + 16x + -16x

Combine like terms: 16x + -16x = 0
10 + -12x = 58 + 0
10 + -12x = 58

Add '-10' to each side of the equation.
10 + -10 + -12x = 58 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = 58 + -10
-12x = 58 + -10

Combine like terms: 58 + -10 = 48
-12x = 48

Divide each side by '-12'.
x = -4

Simplifying
x = -4

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