4z-6=z+12

Solution for 4z-6=z+12 equation:

Simplifying
4z + -6 = z + 12

Reorder the terms:
-6 + 4z = z + 12

Reorder the terms:
-6 + 4z = 12 + z

Solving
-6 + 4z = 12 + 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 + 4z + -1z = 12 + z + -1z

Combine like terms: 4z + -1z = 3z
-6 + 3z = 12 + z + -1z

Combine like terms: z + -1z = 0
-6 + 3z = 12 + 0
-6 + 3z = 12

Add '6' to each side of the equation.
-6 + 6 + 3z = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3z = 12 + 6
3z = 12 + 6

Combine like terms: 12 + 6 = 18
3z = 18

Divide each side by '3'.
z = 6

Simplifying
z = 6