3x-2=-x+6

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

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

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

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

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 3x + x = 6 + -1x + x

Combine like terms: 3x + x = 4x
-2 + 4x = 6 + -1x + x

Combine like terms: -1x + x = 0
-2 + 4x = 6 + 0
-2 + 4x = 6

Add '2' to each side of the equation.
-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 6 + 2
4x = 6 + 2

Combine like terms: 6 + 2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2