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

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

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

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

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

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

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

Solving
6 + 2x = x

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 = x + -1x

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

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6

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

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

Divide each side by '1'.
x = -6

Simplifying
x = -6