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

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


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

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

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

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

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

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

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

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

Solving
2 + 4x = -6 + 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.
2 + 4x + -2x = -6 + 2x + -2x

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

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

Add '-2' to each side of the equation.
2 + -2 + 2x = -6 + -2

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

Combine like terms: -6 + -2 = -8
2x = -8

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

Simplifying
x = -4

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