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

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


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

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

Reorder the terms:
36 + 6x = 2(-8 + x)
36 + 6x = (-8 * 2 + x * 2)
36 + 6x = (-16 + 2x)

Solving
36 + 6x = -16 + 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.
36 + 6x + -2x = -16 + 2x + -2x

Combine like terms: 6x + -2x = 4x
36 + 4x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 4x = -16 + 0
36 + 4x = -16

Add '-36' to each side of the equation.
36 + -36 + 4x = -16 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = -16 + -36
4x = -16 + -36

Combine like terms: -16 + -36 = -52
4x = -52

Divide each side by '4'.
x = -13

Simplifying
x = -13

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