3(-x+2)=x-8

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


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

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

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

Solving
6 + -3x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -3x + -1x = -8 + x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = -8 + x + -1x

Combine like terms: x + -1x = 0
6 + -4x = -8 + 0
6 + -4x = -8

Add '-6' to each side of the equation.
6 + -6 + -4x = -8 + -6

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

Combine like terms: -8 + -6 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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