2(z+3)-5(3-z)=57

Solution for 2(z+3)-5(3-z)=57 equation:

Simplifying
2(z + 3) + -5(3 + -1z) = 57

Reorder the terms:
2(3 + z) + -5(3 + -1z) = 57
(3 * 2 + z * 2) + -5(3 + -1z) = 57
(6 + 2z) + -5(3 + -1z) = 57
6 + 2z + (3 * -5 + -1z * -5) = 57
6 + 2z + (-15 + 5z) = 57

Reorder the terms:
6 + -15 + 2z + 5z = 57

Combine like terms: 6 + -15 = -9
-9 + 2z + 5z = 57

Combine like terms: 2z + 5z = 7z
-9 + 7z = 57

Solving
-9 + 7z = 57

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 7z = 57 + 9

Combine like terms: -9 + 9 = 0
0 + 7z = 57 + 9
7z = 57 + 9

Combine like terms: 57 + 9 = 66
7z = 66

Divide each side by '7'.
z = 9.428571429

Simplifying
z = 9.428571429