2(2z-1)-2(3-5z)=10

Solution for 2(2z-1)-2(3-5z)=10 equation:

Simplifying
2(2z + -1) + -2(3 + -5z) = 10

Reorder the terms:
2(-1 + 2z) + -2(3 + -5z) = 10
(-1 * 2 + 2z * 2) + -2(3 + -5z) = 10
(-2 + 4z) + -2(3 + -5z) = 10
-2 + 4z + (3 * -2 + -5z * -2) = 10
-2 + 4z + (-6 + 10z) = 10

Reorder the terms:
-2 + -6 + 4z + 10z = 10

Combine like terms: -2 + -6 = -8
-8 + 4z + 10z = 10

Combine like terms: 4z + 10z = 14z
-8 + 14z = 10

Solving
-8 + 14z = 10

Solving for variable 'z'.

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

Add '8' to each side of the equation.
-8 + 8 + 14z = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 14z = 10 + 8
14z = 10 + 8

Combine like terms: 10 + 8 = 18
14z = 18

Divide each side by '14'.
z = 1.285714286

Simplifying
z = 1.285714286