6(2q+1)=9q-12

Solution for 6(2q+1)=9q-12 equation:

Simplifying
6(2q + 1) = 9q + -12

Reorder the terms:
6(1 + 2q) = 9q + -12
(1 * 6 + 2q * 6) = 9q + -12
(6 + 12q) = 9q + -12

Reorder the terms:
6 + 12q = -12 + 9q

Solving
6 + 12q = -12 + 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 + 12q + -9q = -12 + 9q + -9q

Combine like terms: 12q + -9q = 3q
6 + 3q = -12 + 9q + -9q

Combine like terms: 9q + -9q = 0
6 + 3q = -12 + 0
6 + 3q = -12

Add '-6' to each side of the equation.
6 + -6 + 3q = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 3q = -12 + -6
3q = -12 + -6

Combine like terms: -12 + -6 = -18
3q = -18

Divide each side by '3'.
q = -6

Simplifying
q = -6