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

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


Simplifying
2(6 + -1x) = 3(-2 + 2x) + 8
(6 * 2 + -1x * 2) = 3(-2 + 2x) + 8
(12 + -2x) = 3(-2 + 2x) + 8
12 + -2x = (-2 * 3 + 2x * 3) + 8
12 + -2x = (-6 + 6x) + 8

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

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

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

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

Combine like terms: 6x + -6x = 0
12 + -8x = 2 + 0
12 + -8x = 2

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

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

Combine like terms: 2 + -12 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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