8z+6=7z+13

Solution for 8z+6=7z+13 equation:

Simplifying
8z + 6 = 7z + 13

Reorder the terms:
6 + 8z = 7z + 13

Reorder the terms:
6 + 8z = 13 + 7z

Solving
6 + 8z = 13 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
6 + 8z + -7z = 13 + 7z + -7z

Combine like terms: 8z + -7z = 1z
6 + 1z = 13 + 7z + -7z

Combine like terms: 7z + -7z = 0
6 + 1z = 13 + 0
6 + 1z = 13

Add '-6' to each side of the equation.
6 + -6 + 1z = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 13 + -6
1z = 13 + -6

Combine like terms: 13 + -6 = 7
1z = 7

Divide each side by '1'.
z = 7

Simplifying
z = 7