2(3(x+2)-2)=x-2

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Solution for 2(3(x+2)-2)=x-2 equation: 


Simplifying
2(3(x + 2) + -2) = x + -2

Reorder the terms:
2(3(2 + x) + -2) = x + -2
2((2 * 3 + x * 3) + -2) = x + -2
2((6 + 3x) + -2) = x + -2

Reorder the terms:
2(6 + -2 + 3x) = x + -2

Combine like terms: 6 + -2 = 4
2(4 + 3x) = x + -2
(4 * 2 + 3x * 2) = x + -2
(8 + 6x) = x + -2

Reorder the terms:
8 + 6x = -2 + x

Solving
8 + 6x = -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.
8 + 6x + -1x = -2 + x + -1x

Combine like terms: 6x + -1x = 5x
8 + 5x = -2 + x + -1x

Combine like terms: x + -1x = 0
8 + 5x = -2 + 0
8 + 5x = -2

Add '-8' to each side of the equation.
8 + -8 + 5x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = -2 + -8
5x = -2 + -8

Combine like terms: -2 + -8 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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