3(x+2)-2(x-4)=8-x

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Solution for 3(x+2)-2(x-4)=8-x equation: 


Simplifying
3(x + 2) + -2(x + -4) = 8 + -1x

Reorder the terms:
3(2 + x) + -2(x + -4) = 8 + -1x
(2 * 3 + x * 3) + -2(x + -4) = 8 + -1x
(6 + 3x) + -2(x + -4) = 8 + -1x

Reorder the terms:
6 + 3x + -2(-4 + x) = 8 + -1x
6 + 3x + (-4 * -2 + x * -2) = 8 + -1x
6 + 3x + (8 + -2x) = 8 + -1x

Reorder the terms:
6 + 8 + 3x + -2x = 8 + -1x

Combine like terms: 6 + 8 = 14
14 + 3x + -2x = 8 + -1x

Combine like terms: 3x + -2x = 1x
14 + 1x = 8 + -1x

Solving
14 + 1x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + 1x + x = 8 + -1x + x

Combine like terms: 1x + x = 2x
14 + 2x = 8 + -1x + x

Combine like terms: -1x + x = 0
14 + 2x = 8 + 0
14 + 2x = 8

Add '-14' to each side of the equation.
14 + -14 + 2x = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 8 + -14
2x = 8 + -14

Combine like terms: 8 + -14 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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