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

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

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

Reorder the terms:
2(-3 + 2z) + -2(3 + -2z) = 6
(-3 * 2 + 2z * 2) + -2(3 + -2z) = 6
(-6 + 4z) + -2(3 + -2z) = 6
-6 + 4z + (3 * -2 + -2z * -2) = 6
-6 + 4z + (-6 + 4z) = 6

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

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

Combine like terms: 4z + 4z = 8z
-12 + 8z = 6

Solving
-12 + 8z = 6

Solving for variable 'z'.

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

Add '12' to each side of the equation.
-12 + 12 + 8z = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 8z = 6 + 12
8z = 6 + 12

Combine like terms: 6 + 12 = 18
8z = 18

Divide each side by '8'.
z = 2.25

Simplifying
z = 2.25