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

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

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

Reorder the terms:
5(5 + z) + -1(3 + 3z) = z
(5 * 5 + z * 5) + -1(3 + 3z) = z
(25 + 5z) + -1(3 + 3z) = z
25 + 5z + (3 * -1 + 3z * -1) = z
25 + 5z + (-3 + -3z) = z

Reorder the terms:
25 + -3 + 5z + -3z = z

Combine like terms: 25 + -3 = 22
22 + 5z + -3z = z

Combine like terms: 5z + -3z = 2z
22 + 2z = z

Solving
22 + 2z = 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.
22 + 2z + -1z = z + -1z

Combine like terms: 2z + -1z = 1z
22 + 1z = z + -1z

Combine like terms: z + -1z = 0
22 + 1z = 0

Add '-22' to each side of the equation.
22 + -22 + 1z = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 1z = 0 + -22
1z = 0 + -22

Combine like terms: 0 + -22 = -22
1z = -22

Divide each side by '1'.
z = -22

Simplifying
z = -22