12(x+1)=2(x-11)-6

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Solution for 12(x+1)=2(x-11)-6 equation: 


Simplifying
12(x + 1) = 2(x + -11) + -6

Reorder the terms:
12(1 + x) = 2(x + -11) + -6
(1 * 12 + x * 12) = 2(x + -11) + -6
(12 + 12x) = 2(x + -11) + -6

Reorder the terms:
12 + 12x = 2(-11 + x) + -6
12 + 12x = (-11 * 2 + x * 2) + -6
12 + 12x = (-22 + 2x) + -6

Reorder the terms:
12 + 12x = -22 + -6 + 2x

Combine like terms: -22 + -6 = -28
12 + 12x = -28 + 2x

Solving
12 + 12x = -28 + 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.
12 + 12x + -2x = -28 + 2x + -2x

Combine like terms: 12x + -2x = 10x
12 + 10x = -28 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 10x = -28 + 0
12 + 10x = -28

Add '-12' to each side of the equation.
12 + -12 + 10x = -28 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = -28 + -12
10x = -28 + -12

Combine like terms: -28 + -12 = -40
10x = -40

Divide each side by '10'.
x = -4

Simplifying
x = -4

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