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

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

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

Reorder the terms:
3(-2 + 2z) + -3(5 + -3z) = 3
(-2 * 3 + 2z * 3) + -3(5 + -3z) = 3
(-6 + 6z) + -3(5 + -3z) = 3
-6 + 6z + (5 * -3 + -3z * -3) = 3
-6 + 6z + (-15 + 9z) = 3

Reorder the terms:
-6 + -15 + 6z + 9z = 3

Combine like terms: -6 + -15 = -21
-21 + 6z + 9z = 3

Combine like terms: 6z + 9z = 15z
-21 + 15z = 3

Solving
-21 + 15z = 3

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 + 15z = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 15z = 3 + 21
15z = 3 + 21

Combine like terms: 3 + 21 = 24
15z = 24

Divide each side by '15'.
z = 1.6

Simplifying
z = 1.6