2(2(x+2)-2)=x-2

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


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

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

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

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

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

Solving
4 + 4x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 4x + -1x = -2 + x + -1x

Combine like terms: 4x + -1x = 3x
4 + 3x = -2 + x + -1x

Combine like terms: x + -1x = 0
4 + 3x = -2 + 0
4 + 3x = -2

Add '-4' to each side of the equation.
4 + -4 + 3x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = -2 + -4
3x = -2 + -4

Combine like terms: -2 + -4 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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