5z-(6-z)=4(1-z)

Solution for 5z-(6-z)=4(1-z) equation:

Simplifying
5z + -1(6 + -1z) = 4(1 + -1z)
5z + (6 * -1 + -1z * -1) = 4(1 + -1z)
5z + (-6 + 1z) = 4(1 + -1z)

Reorder the terms:
-6 + 5z + 1z = 4(1 + -1z)

Combine like terms: 5z + 1z = 6z
-6 + 6z = 4(1 + -1z)
-6 + 6z = (1 * 4 + -1z * 4)
-6 + 6z = (4 + -4z)

Solving
-6 + 6z = 4 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-6 + 6z + 4z = 4 + -4z + 4z

Combine like terms: 6z + 4z = 10z
-6 + 10z = 4 + -4z + 4z

Combine like terms: -4z + 4z = 0
-6 + 10z = 4 + 0
-6 + 10z = 4

Add '6' to each side of the equation.
-6 + 6 + 10z = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 10z = 4 + 6
10z = 4 + 6

Combine like terms: 4 + 6 = 10
10z = 10

Divide each side by '10'.
z = 1

Simplifying
z = 1