3(2z-2)=5(2z+6)

Solution for 3(2z-2)=5(2z+6) equation:

Simplifying
3(2z + -2) = 5(2z + 6)

Reorder the terms:
3(-2 + 2z) = 5(2z + 6)
(-2 * 3 + 2z * 3) = 5(2z + 6)
(-6 + 6z) = 5(2z + 6)

Reorder the terms:
-6 + 6z = 5(6 + 2z)
-6 + 6z = (6 * 5 + 2z * 5)
-6 + 6z = (30 + 10z)

Solving
-6 + 6z = 30 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-6 + 6z + -10z = 30 + 10z + -10z

Combine like terms: 6z + -10z = -4z
-6 + -4z = 30 + 10z + -10z

Combine like terms: 10z + -10z = 0
-6 + -4z = 30 + 0
-6 + -4z = 30

Add '6' to each side of the equation.
-6 + 6 + -4z = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -4z = 30 + 6
-4z = 30 + 6

Combine like terms: 30 + 6 = 36
-4z = 36

Divide each side by '-4'.
z = -9

Simplifying
z = -9