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

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

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

Reorder the terms:
2[5z + -5(-3 + 2z)] = 2z + -6
2[5z + (-3 * -5 + 2z * -5)] = 2z + -6
2[5z + (15 + -10z)] = 2z + -6

Reorder the terms:
2[15 + 5z + -10z] = 2z + -6

Combine like terms: 5z + -10z = -5z
2[15 + -5z] = 2z + -6
[15 * 2 + -5z * 2] = 2z + -6
[30 + -10z] = 2z + -6

Reorder the terms:
30 + -10z = -6 + 2z

Solving
30 + -10z = -6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
30 + -10z + -2z = -6 + 2z + -2z

Combine like terms: -10z + -2z = -12z
30 + -12z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0
30 + -12z = -6 + 0
30 + -12z = -6

Add '-30' to each side of the equation.
30 + -30 + -12z = -6 + -30

Combine like terms: 30 + -30 = 0
0 + -12z = -6 + -30
-12z = -6 + -30

Combine like terms: -6 + -30 = -36
-12z = -36

Divide each side by '-12'.
z = 3

Simplifying
z = 3