6(x+8)+12=2(x-6)

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Solution for 6(x+8)+12=2(x-6) equation: 


Simplifying
6(x + 8) + 12 = 2(x + -6)

Reorder the terms:
6(8 + x) + 12 = 2(x + -6)
(8 * 6 + x * 6) + 12 = 2(x + -6)
(48 + 6x) + 12 = 2(x + -6)

Reorder the terms:
48 + 12 + 6x = 2(x + -6)

Combine like terms: 48 + 12 = 60
60 + 6x = 2(x + -6)

Reorder the terms:
60 + 6x = 2(-6 + x)
60 + 6x = (-6 * 2 + x * 2)
60 + 6x = (-12 + 2x)

Solving
60 + 6x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
60 + 6x + -2x = -12 + 2x + -2x

Combine like terms: 6x + -2x = 4x
60 + 4x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + 4x = -12 + 0
60 + 4x = -12

Add '-60' to each side of the equation.
60 + -60 + 4x = -12 + -60

Combine like terms: 60 + -60 = 0
0 + 4x = -12 + -60
4x = -12 + -60

Combine like terms: -12 + -60 = -72
4x = -72

Divide each side by '4'.
x = -18

Simplifying
x = -18

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