-6(2-3x)+2(-3x+2)=-2x-8

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Solution for -6(2-3x)+2(-3x+2)=-2x-8 equation: 


Simplifying
-6(2 + -3x) + 2(-3x + 2) = -2x + -8
(2 * -6 + -3x * -6) + 2(-3x + 2) = -2x + -8
(-12 + 18x) + 2(-3x + 2) = -2x + -8

Reorder the terms:
-12 + 18x + 2(2 + -3x) = -2x + -8
-12 + 18x + (2 * 2 + -3x * 2) = -2x + -8
-12 + 18x + (4 + -6x) = -2x + -8

Reorder the terms:
-12 + 4 + 18x + -6x = -2x + -8

Combine like terms: -12 + 4 = -8
-8 + 18x + -6x = -2x + -8

Combine like terms: 18x + -6x = 12x
-8 + 12x = -2x + -8

Reorder the terms:
-8 + 12x = -8 + -2x

Add '8' to each side of the equation.
-8 + 8 + 12x = -8 + 8 + -2x

Combine like terms: -8 + 8 = 0
0 + 12x = -8 + 8 + -2x
12x = -8 + 8 + -2x

Combine like terms: -8 + 8 = 0
12x = 0 + -2x
12x = -2x

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

Combine like terms: 12x + 2x = 14x
14x = -2x + 2x

Combine like terms: -2x + 2x = 0
14x = 0

Divide each side by '14'.
x = 0

Simplifying
x = 0

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