6=x+(z-x)

Solution for 6=x+(z-x) equation:

Simplifying
6 = x + (z + -1x)

Reorder the terms:
6 = x + (-1x + z)

Remove parenthesis around (-1x + z)
6 = x + -1x + z

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

Solving
6 = 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 = z + -1z

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

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

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

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

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

Simplifying
z = 6