5x-6=6-x

Solution for 5x-6=6-x equation:

Simplifying
5x + -6 = 6 + -1x

Reorder the terms:
-6 + 5x = 6 + -1x

Solving
-6 + 5x = 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.
-6 + 5x + x = 6 + -1x + x

Combine like terms: 5x + x = 6x
-6 + 6x = 6 + -1x + x

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

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

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

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

Divide each side by '6'.
x = 2

Simplifying
x = 2