(5-z)+(6-x)-(5-z)=0

Solution for (5-z)+(6-x)-(5-z)=0 equation:

Simplifying
(5 + -1z) + (6 + -1x) + -1(5 + -1z) = 0

Remove parenthesis around (5 + -1z)
5 + -1z + (6 + -1x) + -1(5 + -1z) = 0

Remove parenthesis around (6 + -1x)
5 + -1z + 6 + -1x + -1(5 + -1z) = 0
5 + -1z + 6 + -1x + (5 * -1 + -1z * -1) = 0
5 + -1z + 6 + -1x + (-5 + 1z) = 0

Reorder the terms:
5 + 6 + -5 + -1x + -1z + 1z = 0

Combine like terms: 5 + 6 = 11
11 + -5 + -1x + -1z + 1z = 0

Combine like terms: 11 + -5 = 6
6 + -1x + -1z + 1z = 0

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

Solving
6 + -1x = 0

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = 6