2(2z-3)-2(4-5z)=2

Solution for 2(2z-3)-2(4-5z)=2 equation:

Simplifying
2(2z + -3) + -2(4 + -5z) = 2

Reorder the terms:
2(-3 + 2z) + -2(4 + -5z) = 2
(-3 * 2 + 2z * 2) + -2(4 + -5z) = 2
(-6 + 4z) + -2(4 + -5z) = 2
-6 + 4z + (4 * -2 + -5z * -2) = 2
-6 + 4z + (-8 + 10z) = 2

Reorder the terms:
-6 + -8 + 4z + 10z = 2

Combine like terms: -6 + -8 = -14
-14 + 4z + 10z = 2

Combine like terms: 4z + 10z = 14z
-14 + 14z = 2

Solving
-14 + 14z = 2

Solving for variable 'z'.

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

Add '14' to each side of the equation.
-14 + 14 + 14z = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 14z = 2 + 14
14z = 2 + 14

Combine like terms: 2 + 14 = 16
14z = 16

Divide each side by '14'.
z = 1.142857143

Simplifying
z = 1.142857143