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

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


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

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

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

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

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

Solving
2 + 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.
2 + 2x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -1x = -2 + 0
2 + -1x = -2

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

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

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

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

Simplifying
x = 4

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