-6(x-12)+6(x+3)=x+8

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Solution for -6(x-12)+6(x+3)=x+8 equation: 


Simplifying
-6(x + -12) + 6(x + 3) = x + 8

Reorder the terms:
-6(-12 + x) + 6(x + 3) = x + 8
(-12 * -6 + x * -6) + 6(x + 3) = x + 8
(72 + -6x) + 6(x + 3) = x + 8

Reorder the terms:
72 + -6x + 6(3 + x) = x + 8
72 + -6x + (3 * 6 + x * 6) = x + 8
72 + -6x + (18 + 6x) = x + 8

Reorder the terms:
72 + 18 + -6x + 6x = x + 8

Combine like terms: 72 + 18 = 90
90 + -6x + 6x = x + 8

Combine like terms: -6x + 6x = 0
90 + 0 = x + 8
90 = x + 8

Reorder the terms:
90 = 8 + x

Solving
90 = 8 + 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.
90 + -1x = 8 + x + -1x

Combine like terms: x + -1x = 0
90 + -1x = 8 + 0
90 + -1x = 8

Add '-90' to each side of the equation.
90 + -90 + -1x = 8 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 8 + -90
-1x = 8 + -90

Combine like terms: 8 + -90 = -82
-1x = -82

Divide each side by '-1'.
x = 82

Simplifying
x = 82

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