3(q+2)+5q=-42

Solution for 3(q+2)+5q=-42 equation:

Simplifying
3(q + 2) + 5q = -42

Reorder the terms:
3(2 + q) + 5q = -42
(2 * 3 + q * 3) + 5q = -42
(6 + 3q) + 5q = -42

Combine like terms: 3q + 5q = 8q
6 + 8q = -42

Solving
6 + 8q = -42

Solving for variable 'q'.

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

Add '-6' to each side of the equation.
6 + -6 + 8q = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 8q = -42 + -6
8q = -42 + -6

Combine like terms: -42 + -6 = -48
8q = -48

Divide each side by '8'.
q = -6

Simplifying
q = -6