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

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


Simplifying
2(2 + -1x) = 3(-6 + 2x) + 6
(2 * 2 + -1x * 2) = 3(-6 + 2x) + 6
(4 + -2x) = 3(-6 + 2x) + 6
4 + -2x = (-6 * 3 + 2x * 3) + 6
4 + -2x = (-18 + 6x) + 6

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

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

Solving
4 + -2x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + -2x + -6x = -12 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
4 + -8x = -12 + 0
4 + -8x = -12

Add '-4' to each side of the equation.
4 + -4 + -8x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -12 + -4
-8x = -12 + -4

Combine like terms: -12 + -4 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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