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

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


Simplifying
(-1x + 6) = (3x + -2)

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

Remove parenthesis around (6 + -1x)
6 + -1x = (3x + -2)

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

Remove parenthesis around (-2 + 3x)
6 + -1x = -2 + 3x

Solving
6 + -1x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -1x + -3x = -2 + 3x + -3x

Combine like terms: -1x + -3x = -4x
6 + -4x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -4x = -2 + 0
6 + -4x = -2

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

Combine like terms: 6 + -6 = 0
0 + -4x = -2 + -6
-4x = -2 + -6

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

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

Simplifying
x = 2

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