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

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

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

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

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

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

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

Solving
-6 + 14z = 10

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 14z = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 14z = 10 + 6
14z = 10 + 6

Combine like terms: 10 + 6 = 16
14z = 16

Divide each side by '14'.
z = 1.142857143

Simplifying
z = 1.142857143