4(z+5)=5+z

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

Simplifying
4(z + 5) = 5 + z

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

Solving
20 + 4z = 5 + 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 + 4z + -1z = 5 + z + -1z

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

Combine like terms: z + -1z = 0
20 + 3z = 5 + 0
20 + 3z = 5

Add '-20' to each side of the equation.
20 + -20 + 3z = 5 + -20

Combine like terms: 20 + -20 = 0
0 + 3z = 5 + -20
3z = 5 + -20

Combine like terms: 5 + -20 = -15
3z = -15

Divide each side by '3'.
z = -5

Simplifying
z = -5