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

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

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

Reorder the terms:
5(6 + z) = 4(z + -5) + z
(6 * 5 + z * 5) = 4(z + -5) + z
(30 + 5z) = 4(z + -5) + z

Reorder the terms:
30 + 5z = 4(-5 + z) + z
30 + 5z = (-5 * 4 + z * 4) + z
30 + 5z = (-20 + 4z) + z

Combine like terms: 4z + z = 5z
30 + 5z = -20 + 5z

Add '-5z' to each side of the equation.
30 + 5z + -5z = -20 + 5z + -5z

Combine like terms: 5z + -5z = 0
30 + 0 = -20 + 5z + -5z
30 = -20 + 5z + -5z

Combine like terms: 5z + -5z = 0
30 = -20 + 0
30 = -20

Solving
30 = -20

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.