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

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

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

Reorder the terms:
2(-3 + 5z) + -2(3 + -2z) = 6
(-3 * 2 + 5z * 2) + -2(3 + -2z) = 6
(-6 + 10z) + -2(3 + -2z) = 6
-6 + 10z + (3 * -2 + -2z * -2) = 6
-6 + 10z + (-6 + 4z) = 6

Reorder the terms:
-6 + -6 + 10z + 4z = 6

Combine like terms: -6 + -6 = -12
-12 + 10z + 4z = 6

Combine like terms: 10z + 4z = 14z
-12 + 14z = 6

Solving
-12 + 14z = 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 + 14z = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 14z = 6 + 12
14z = 6 + 12

Combine like terms: 6 + 12 = 18
14z = 18

Divide each side by '14'.
z = 1.285714286

Simplifying
z = 1.285714286