2[6-(-2x-2)]=8x+20

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Solution for 2[6-(-2x-2)]=8x+20 equation: 


Simplifying
2[6 + -1(-2x + -2)] = 8x + 20

Reorder the terms:
2[6 + -1(-2 + -2x)] = 8x + 20
2[6 + (-2 * -1 + -2x * -1)] = 8x + 20
2[6 + (2 + 2x)] = 8x + 20

Combine like terms: 6 + 2 = 8
2[8 + 2x] = 8x + 20
[8 * 2 + 2x * 2] = 8x + 20
[16 + 4x] = 8x + 20

Reorder the terms:
16 + 4x = 20 + 8x

Solving
16 + 4x = 20 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
16 + 4x + -8x = 20 + 8x + -8x

Combine like terms: 4x + -8x = -4x
16 + -4x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -4x = 20 + 0
16 + -4x = 20

Add '-16' to each side of the equation.
16 + -16 + -4x = 20 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 20 + -16
-4x = 20 + -16

Combine like terms: 20 + -16 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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