3(z-6)=2z

Solution for 3(z-6)=2z equation:

Simplifying
3(z + -6) = 2z

Reorder the terms:
3(-6 + z) = 2z
(-6 * 3 + z * 3) = 2z
(-18 + 3z) = 2z

Solving
-18 + 3z = 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-18 + 3z + -2z = 2z + -2z

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

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

Add '18' to each side of the equation.
-18 + 18 + 1z = 0 + 18

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

Combine like terms: 0 + 18 = 18
1z = 18

Divide each side by '1'.
z = 18

Simplifying
z = 18