5(z-8)-(3+9z)=-5z

Solution for 5(z-8)-(3+9z)=-5z equation:

Simplifying
5(z + -8) + -1(3 + 9z) = -5z

Reorder the terms:
5(-8 + z) + -1(3 + 9z) = -5z
(-8 * 5 + z * 5) + -1(3 + 9z) = -5z
(-40 + 5z) + -1(3 + 9z) = -5z
-40 + 5z + (3 * -1 + 9z * -1) = -5z
-40 + 5z + (-3 + -9z) = -5z

Reorder the terms:
-40 + -3 + 5z + -9z = -5z

Combine like terms: -40 + -3 = -43
-43 + 5z + -9z = -5z

Combine like terms: 5z + -9z = -4z
-43 + -4z = -5z

Solving
-43 + -4z = -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
-43 + -4z + 5z = -5z + 5z

Combine like terms: -4z + 5z = 1z
-43 + 1z = -5z + 5z

Combine like terms: -5z + 5z = 0
-43 + 1z = 0

Add '43' to each side of the equation.
-43 + 43 + 1z = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 1z = 0 + 43
1z = 0 + 43

Combine like terms: 0 + 43 = 43
1z = 43

Divide each side by '1'.
z = 43

Simplifying
z = 43