2[5(x+2)-2]=x-2

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Solution for 2[5(x+2)-2]=x-2 equation: 


Simplifying
2[5(x + 2) + -2] = x + -2

Reorder the terms:
2[5(2 + x) + -2] = x + -2
2[(2 * 5 + x * 5) + -2] = x + -2
2[(10 + 5x) + -2] = x + -2

Reorder the terms:
2[10 + -2 + 5x] = x + -2

Combine like terms: 10 + -2 = 8
2[8 + 5x] = x + -2
[8 * 2 + 5x * 2] = x + -2
[16 + 10x] = x + -2

Reorder the terms:
16 + 10x = -2 + x

Solving
16 + 10x = -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.
16 + 10x + -1x = -2 + x + -1x

Combine like terms: 10x + -1x = 9x
16 + 9x = -2 + x + -1x

Combine like terms: x + -1x = 0
16 + 9x = -2 + 0
16 + 9x = -2

Add '-16' to each side of the equation.
16 + -16 + 9x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 9x = -2 + -16
9x = -2 + -16

Combine like terms: -2 + -16 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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