6+7z=13z+18

Solution for 6+7z=13z+18 equation:

Simplifying
6 + 7z = 13z + 18

Reorder the terms:
6 + 7z = 18 + 13z

Solving
6 + 7z = 18 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
6 + 7z + -13z = 18 + 13z + -13z

Combine like terms: 7z + -13z = -6z
6 + -6z = 18 + 13z + -13z

Combine like terms: 13z + -13z = 0
6 + -6z = 18 + 0
6 + -6z = 18

Add '-6' to each side of the equation.
6 + -6 + -6z = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -6z = 18 + -6
-6z = 18 + -6

Combine like terms: 18 + -6 = 12
-6z = 12

Divide each side by '-6'.
z = -2

Simplifying
z = -2