6-x=x+6

Solution for 6-x=x+6 equation:

Simplifying
6 + -1x = x + 6

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

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

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

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

Solving
-1x = 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.
-1x + -1x = x + -1x

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0