2(z+5)=3(2-2z)+8z

Solution for 2(z+5)=3(2-2z)+8z equation:

Simplifying
2(z + 5) = 3(2 + -2z) + 8z

Reorder the terms:
2(5 + z) = 3(2 + -2z) + 8z
(5 * 2 + z * 2) = 3(2 + -2z) + 8z
(10 + 2z) = 3(2 + -2z) + 8z
10 + 2z = (2 * 3 + -2z * 3) + 8z
10 + 2z = (6 + -6z) + 8z

Combine like terms: -6z + 8z = 2z
10 + 2z = 6 + 2z

Add '-2z' to each side of the equation.
10 + 2z + -2z = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
10 + 0 = 6 + 2z + -2z
10 = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
10 = 6 + 0
10 = 6

Solving
10 = 6

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.