6(1-q)=-3(5+3q)

Solution for 6(1-q)=-3(5+3q) equation:

Simplifying
6(1 + -1q) = -3(5 + 3q)
(1 * 6 + -1q * 6) = -3(5 + 3q)
(6 + -6q) = -3(5 + 3q)
6 + -6q = (5 * -3 + 3q * -3)
6 + -6q = (-15 + -9q)

Solving
6 + -6q = -15 + -9q

Solving for variable 'q'.

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

Add '9q' to each side of the equation.
6 + -6q + 9q = -15 + -9q + 9q

Combine like terms: -6q + 9q = 3q
6 + 3q = -15 + -9q + 9q

Combine like terms: -9q + 9q = 0
6 + 3q = -15 + 0
6 + 3q = -15

Add '-6' to each side of the equation.
6 + -6 + 3q = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 3q = -15 + -6
3q = -15 + -6

Combine like terms: -15 + -6 = -21
3q = -21

Divide each side by '3'.
q = -7

Simplifying
q = -7