2(x+6)=6-4(x+6)

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Solution for 2(x+6)=6-4(x+6) equation: 


Simplifying
2(x + 6) = 6 + -4(x + 6)

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

Reorder the terms:
12 + 2x = 6 + -4(6 + x)
12 + 2x = 6 + (6 * -4 + x * -4)
12 + 2x = 6 + (-24 + -4x)

Combine like terms: 6 + -24 = -18
12 + 2x = -18 + -4x

Solving
12 + 2x = -18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
12 + 2x + 4x = -18 + -4x + 4x

Combine like terms: 2x + 4x = 6x
12 + 6x = -18 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 6x = -18 + 0
12 + 6x = -18

Add '-12' to each side of the equation.
12 + -12 + 6x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = -18 + -12
6x = -18 + -12

Combine like terms: -18 + -12 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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