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

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


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

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

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

Combine like terms: 2 + 8 = 10
10 + -3x = 2 + -1x

Solving
10 + -3x = 2 + -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.
10 + -3x + x = 2 + -1x + x

Combine like terms: -3x + x = -2x
10 + -2x = 2 + -1x + x

Combine like terms: -1x + x = 0
10 + -2x = 2 + 0
10 + -2x = 2

Add '-10' to each side of the equation.
10 + -10 + -2x = 2 + -10

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

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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