4-(5z-2)=z

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

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

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

Combine like terms: 4 + 2 = 6
6 + -5z = z

Solving
6 + -5z = 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.
6 + -5z + -1z = z + -1z

Combine like terms: -5z + -1z = -6z
6 + -6z = z + -1z

Combine like terms: z + -1z = 0
6 + -6z = 0

Add '-6' to each side of the equation.
6 + -6 + -6z = 0 + -6

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

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

Divide each side by '-6'.
z = 1

Simplifying
z = 1