4(z-5)-(3-6z)=9z

Solution for 4(z-5)-(3-6z)=9z equation:

Simplifying
4(z + -5) + -1(3 + -6z) = 9z

Reorder the terms:
4(-5 + z) + -1(3 + -6z) = 9z
(-5 * 4 + z * 4) + -1(3 + -6z) = 9z
(-20 + 4z) + -1(3 + -6z) = 9z
-20 + 4z + (3 * -1 + -6z * -1) = 9z
-20 + 4z + (-3 + 6z) = 9z

Reorder the terms:
-20 + -3 + 4z + 6z = 9z

Combine like terms: -20 + -3 = -23
-23 + 4z + 6z = 9z

Combine like terms: 4z + 6z = 10z
-23 + 10z = 9z

Solving
-23 + 10z = 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-23 + 10z + -9z = 9z + -9z

Combine like terms: 10z + -9z = 1z
-23 + 1z = 9z + -9z

Combine like terms: 9z + -9z = 0
-23 + 1z = 0

Add '23' to each side of the equation.
-23 + 23 + 1z = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 1z = 0 + 23
1z = 0 + 23

Combine like terms: 0 + 23 = 23
1z = 23

Divide each side by '1'.
z = 23

Simplifying
z = 23