3z+6=z-18

Solution for 3z+6=z-18 equation:

Simplifying
3z + 6 = z + -18

Reorder the terms:
6 + 3z = z + -18

Reorder the terms:
6 + 3z = -18 + z

Solving
6 + 3z = -18 + 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 + 3z + -1z = -18 + z + -1z

Combine like terms: 3z + -1z = 2z
6 + 2z = -18 + z + -1z

Combine like terms: z + -1z = 0
6 + 2z = -18 + 0
6 + 2z = -18

Add '-6' to each side of the equation.
6 + -6 + 2z = -18 + -6

Combine like terms: 6 + -6 = 0
0 + 2z = -18 + -6
2z = -18 + -6

Combine like terms: -18 + -6 = -24
2z = -24

Divide each side by '2'.
z = -12

Simplifying
z = -12