5(z+10)-3(z+1)=59

Solution for 5(z+10)-3(z+1)=59 equation:

Simplifying
5(z + 10) + -3(z + 1) = 59

Reorder the terms:
5(10 + z) + -3(z + 1) = 59
(10 * 5 + z * 5) + -3(z + 1) = 59
(50 + 5z) + -3(z + 1) = 59

Reorder the terms:
50 + 5z + -3(1 + z) = 59
50 + 5z + (1 * -3 + z * -3) = 59
50 + 5z + (-3 + -3z) = 59

Reorder the terms:
50 + -3 + 5z + -3z = 59

Combine like terms: 50 + -3 = 47
47 + 5z + -3z = 59

Combine like terms: 5z + -3z = 2z
47 + 2z = 59

Solving
47 + 2z = 59

Solving for variable 'z'.

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

Add '-47' to each side of the equation.
47 + -47 + 2z = 59 + -47

Combine like terms: 47 + -47 = 0
0 + 2z = 59 + -47
2z = 59 + -47

Combine like terms: 59 + -47 = 12
2z = 12

Divide each side by '2'.
z = 6

Simplifying
z = 6