x-3x+6=3x-2x

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


Simplifying
x + -3x + 6 = 3x + -2x

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

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

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

Solving
6 + -2x = 1x

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 + -2x + -1x = 1x + -1x

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

Combine like terms: 1x + -1x = 0
6 + -3x = 0

Add '-6' to each side of the equation.
6 + -6 + -3x = 0 + -6

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

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

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

Simplifying
x = 2

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