3(5z-1)-3(4-2z)=12

Solution for 3(5z-1)-3(4-2z)=12 equation:

Simplifying
3(5z + -1) + -3(4 + -2z) = 12

Reorder the terms:
3(-1 + 5z) + -3(4 + -2z) = 12
(-1 * 3 + 5z * 3) + -3(4 + -2z) = 12
(-3 + 15z) + -3(4 + -2z) = 12
-3 + 15z + (4 * -3 + -2z * -3) = 12
-3 + 15z + (-12 + 6z) = 12

Reorder the terms:
-3 + -12 + 15z + 6z = 12

Combine like terms: -3 + -12 = -15
-15 + 15z + 6z = 12

Combine like terms: 15z + 6z = 21z
-15 + 21z = 12

Solving
-15 + 21z = 12

Solving for variable 'z'.

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

Add '15' to each side of the equation.
-15 + 15 + 21z = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 21z = 12 + 15
21z = 12 + 15

Combine like terms: 12 + 15 = 27
21z = 27

Divide each side by '21'.
z = 1.285714286

Simplifying
z = 1.285714286