2[4(x+2)-2]=x-2

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Solution for 2[4(x+2)-2]=x-2 equation:


Simplifying
2[4(x + 2) + -2] = x + -2

Reorder the terms:
2[4(2 + x) + -2] = x + -2
2[(2 * 4 + x * 4) + -2] = x + -2
2[(8 + 4x) + -2] = x + -2

Reorder the terms:
2[8 + -2 + 4x] = x + -2

Combine like terms: 8 + -2 = 6
2[6 + 4x] = x + -2
[6 * 2 + 4x * 2] = x + -2
[12 + 8x] = x + -2

Reorder the terms:
12 + 8x = -2 + x

Solving
12 + 8x = -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.
12 + 8x + -1x = -2 + x + -1x

Combine like terms: 8x + -1x = 7x
12 + 7x = -2 + x + -1x

Combine like terms: x + -1x = 0
12 + 7x = -2 + 0
12 + 7x = -2

Add '-12' to each side of the equation.
12 + -12 + 7x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = -2 + -12
7x = -2 + -12

Combine like terms: -2 + -12 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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