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

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


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

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

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

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

Reorder the terms:
6 + -2x = 16 + -2 + 2x

Combine like terms: 16 + -2 = 14
6 + -2x = 14 + 2x

Solving
6 + -2x = 14 + 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.
6 + -2x + -2x = 14 + 2x + -2x

Combine like terms: -2x + -2x = -4x
6 + -4x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -4x = 14 + 0
6 + -4x = 14

Add '-6' to each side of the equation.
6 + -6 + -4x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 14 + -6
-4x = 14 + -6

Combine like terms: 14 + -6 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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