3(2x+12)=-2(x-4)+x

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Solution for 3(2x+12)=-2(x-4)+x equation: 


Simplifying
3(2x + 12) = -2(x + -4) + x

Reorder the terms:
3(12 + 2x) = -2(x + -4) + x
(12 * 3 + 2x * 3) = -2(x + -4) + x
(36 + 6x) = -2(x + -4) + x

Reorder the terms:
36 + 6x = -2(-4 + x) + x
36 + 6x = (-4 * -2 + x * -2) + x
36 + 6x = (8 + -2x) + x

Combine like terms: -2x + x = -1x
36 + 6x = 8 + -1x

Solving
36 + 6x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
36 + 6x + x = 8 + -1x + x

Combine like terms: 6x + x = 7x
36 + 7x = 8 + -1x + x

Combine like terms: -1x + x = 0
36 + 7x = 8 + 0
36 + 7x = 8

Add '-36' to each side of the equation.
36 + -36 + 7x = 8 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = 8 + -36
7x = 8 + -36

Combine like terms: 8 + -36 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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