2x+6-x=2+3x-8

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Solution for 2x+6-x=2+3x-8 equation:


Simplifying
2x + 6 + -1x = 2 + 3x + -8

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

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

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

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

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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