2[6(x+2)-2]=x-2

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Solution for 2[6(x+2)-2]=x-2 equation:


Simplifying
2[6(x + 2) + -2] = x + -2

Reorder the terms:
2[6(2 + x) + -2] = x + -2
2[(2 * 6 + x * 6) + -2] = x + -2
2[(12 + 6x) + -2] = x + -2

Reorder the terms:
2[12 + -2 + 6x] = x + -2

Combine like terms: 12 + -2 = 10
2[10 + 6x] = x + -2
[10 * 2 + 6x * 2] = x + -2
[20 + 12x] = x + -2

Reorder the terms:
20 + 12x = -2 + x

Solving
20 + 12x = -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.
20 + 12x + -1x = -2 + x + -1x

Combine like terms: 12x + -1x = 11x
20 + 11x = -2 + x + -1x

Combine like terms: x + -1x = 0
20 + 11x = -2 + 0
20 + 11x = -2

Add '-20' to each side of the equation.
20 + -20 + 11x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 11x = -2 + -20
11x = -2 + -20

Combine like terms: -2 + -20 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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