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

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

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

Reorder the terms:
3(-2 + 2z) + -3(5 + -2z) = 6
(-2 * 3 + 2z * 3) + -3(5 + -2z) = 6
(-6 + 6z) + -3(5 + -2z) = 6
-6 + 6z + (5 * -3 + -2z * -3) = 6
-6 + 6z + (-15 + 6z) = 6

Reorder the terms:
-6 + -15 + 6z + 6z = 6

Combine like terms: -6 + -15 = -21
-21 + 6z + 6z = 6

Combine like terms: 6z + 6z = 12z
-21 + 12z = 6

Solving
-21 + 12z = 6

Solving for variable 'z'.

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

Add '21' to each side of the equation.
-21 + 21 + 12z = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 12z = 6 + 21
12z = 6 + 21

Combine like terms: 6 + 21 = 27
12z = 27

Divide each side by '12'.
z = 2.25

Simplifying
z = 2.25