3x+6-x=6+3x-8

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Solution for 3x+6-x=6+3x-8 equation:


Simplifying
3x + 6 + -1x = 6 + 3x + -8

Reorder the terms:
6 + 3x + -1x = 6 + 3x + -8

Combine like terms: 3x + -1x = 2x
6 + 2x = 6 + 3x + -8

Reorder the terms:
6 + 2x = 6 + -8 + 3x

Combine like terms: 6 + -8 = -2
6 + 2x = -2 + 3x

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

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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