2(6z+5)-3(2z+3)=61

Solution for 2(6z+5)-3(2z+3)=61 equation:

Simplifying
2(6z + 5) + -3(2z + 3) = 61

Reorder the terms:
2(5 + 6z) + -3(2z + 3) = 61
(5 * 2 + 6z * 2) + -3(2z + 3) = 61
(10 + 12z) + -3(2z + 3) = 61

Reorder the terms:
10 + 12z + -3(3 + 2z) = 61
10 + 12z + (3 * -3 + 2z * -3) = 61
10 + 12z + (-9 + -6z) = 61

Reorder the terms:
10 + -9 + 12z + -6z = 61

Combine like terms: 10 + -9 = 1
1 + 12z + -6z = 61

Combine like terms: 12z + -6z = 6z
1 + 6z = 61

Solving
1 + 6z = 61

Solving for variable 'z'.

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

Add '-1' to each side of the equation.
1 + -1 + 6z = 61 + -1

Combine like terms: 1 + -1 = 0
0 + 6z = 61 + -1
6z = 61 + -1

Combine like terms: 61 + -1 = 60
6z = 60

Divide each side by '6'.
z = 10

Simplifying
z = 10