2x+(x-6)+(2x+8)+(x-8)=132

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Solution for 2x+(x-6)+(2x+8)+(x-8)=132 equation:


Simplifying
2x + (x + -6) + (2x + 8) + (x + -8) = 132

Reorder the terms:
2x + (-6 + x) + (2x + 8) + (x + -8) = 132

Remove parenthesis around (-6 + x)
2x + -6 + x + (2x + 8) + (x + -8) = 132

Reorder the terms:
2x + -6 + x + (8 + 2x) + (x + -8) = 132

Remove parenthesis around (8 + 2x)
2x + -6 + x + 8 + 2x + (x + -8) = 132

Reorder the terms:
2x + -6 + x + 8 + 2x + (-8 + x) = 132

Remove parenthesis around (-8 + x)
2x + -6 + x + 8 + 2x + -8 + x = 132

Reorder the terms:
-6 + 8 + -8 + 2x + x + 2x + x = 132

Combine like terms: -6 + 8 = 2
2 + -8 + 2x + x + 2x + x = 132

Combine like terms: 2 + -8 = -6
-6 + 2x + x + 2x + x = 132

Combine like terms: 2x + x = 3x
-6 + 3x + 2x + x = 132

Combine like terms: 3x + 2x = 5x
-6 + 5x + x = 132

Combine like terms: 5x + x = 6x
-6 + 6x = 132

Solving
-6 + 6x = 132

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 132 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 132 + 6
6x = 132 + 6

Combine like terms: 132 + 6 = 138
6x = 138

Divide each side by '6'.
x = 23

Simplifying
x = 23

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