7z+6-z=10+5z-8

Solution for 7z+6-z=10+5z-8 equation:

Simplifying
7z + 6 + -1z = 10 + 5z + -8

Reorder the terms:
6 + 7z + -1z = 10 + 5z + -8

Combine like terms: 7z + -1z = 6z
6 + 6z = 10 + 5z + -8

Reorder the terms:
6 + 6z = 10 + -8 + 5z

Combine like terms: 10 + -8 = 2
6 + 6z = 2 + 5z

Solving
6 + 6z = 2 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 6z + -5z = 2 + 5z + -5z

Combine like terms: 6z + -5z = 1z
6 + 1z = 2 + 5z + -5z

Combine like terms: 5z + -5z = 0
6 + 1z = 2 + 0
6 + 1z = 2

Add '-6' to each side of the equation.
6 + -6 + 1z = 2 + -6

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

Combine like terms: 2 + -6 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4