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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