6-z=z-8

Solution for 6-z=z-8 equation:

Simplifying
6 + -1z = z + -8

Reorder the terms:
6 + -1z = -8 + z

Solving
6 + -1z = -8 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + -1z + -1z = -8 + z + -1z

Combine like terms: -1z + -1z = -2z
6 + -2z = -8 + z + -1z

Combine like terms: z + -1z = 0
6 + -2z = -8 + 0
6 + -2z = -8

Add '-6' to each side of the equation.
6 + -6 + -2z = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = -8 + -6
-2z = -8 + -6

Combine like terms: -8 + -6 = -14
-2z = -14

Divide each side by '-2'.
z = 7

Simplifying
z = 7