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

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

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

Reorder the terms:
4(-1 + 2z) + 3(4z + -5) = z
(-1 * 4 + 2z * 4) + 3(4z + -5) = z
(-4 + 8z) + 3(4z + -5) = z

Reorder the terms:
-4 + 8z + 3(-5 + 4z) = z
-4 + 8z + (-5 * 3 + 4z * 3) = z
-4 + 8z + (-15 + 12z) = z

Reorder the terms:
-4 + -15 + 8z + 12z = z

Combine like terms: -4 + -15 = -19
-19 + 8z + 12z = z

Combine like terms: 8z + 12z = 20z
-19 + 20z = z

Solving
-19 + 20z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-19 + 20z + -1z = z + -1z

Combine like terms: 20z + -1z = 19z
-19 + 19z = z + -1z

Combine like terms: z + -1z = 0
-19 + 19z = 0

Add '19' to each side of the equation.
-19 + 19 + 19z = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 19z = 0 + 19
19z = 0 + 19

Combine like terms: 0 + 19 = 19
19z = 19

Divide each side by '19'.
z = 1

Simplifying
z = 1