5z+4(5-z)=(z-3)+13

Solution for 5z+4(5-z)=(z-3)+13 equation:

Simplifying
5z + 4(5 + -1z) = (z + -3) + 13
5z + (5 * 4 + -1z * 4) = (z + -3) + 13
5z + (20 + -4z) = (z + -3) + 13

Reorder the terms:
20 + 5z + -4z = (z + -3) + 13

Combine like terms: 5z + -4z = 1z
20 + 1z = (z + -3) + 13

Reorder the terms:
20 + 1z = (-3 + z) + 13

Remove parenthesis around (-3 + z)
20 + 1z = -3 + z + 13

Reorder the terms:
20 + 1z = -3 + 13 + z

Combine like terms: -3 + 13 = 10
20 + 1z = 10 + z

Solving
20 + 1z = 10 + 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.
20 + 1z + -1z = 10 + z + -1z

Combine like terms: 1z + -1z = 0
20 + 0 = 10 + z + -1z
20 = 10 + z + -1z

Combine like terms: z + -1z = 0
20 = 10 + 0
20 = 10

Add '-20' to each side of the equation.
20 + -20 = 10 + -20

Combine like terms: 20 + -20 = 0
0 = 10 + -20

Combine like terms: 10 + -20 = -10
0 = -10

Simplifying
0 = -10

Combine like terms: 0 + 10 = 10
10 = -10 + 10

Combine like terms: -10 + 10 = 0
10 = 0

The solution to this equation could not be determined.