3x+6=2-x+3x

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


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

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

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

Solving
6 + 3x = 2 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
6 + 1x = 2 + 0
6 + 1x = 2

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

Combine like terms: 6 + -6 = 0
0 + 1x = 2 + -6
1x = 2 + -6

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

Divide each side by '1'.
x = -4

Simplifying
x = -4

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