2(3+2q)=3(2q-4)

Solution for 2(3+2q)=3(2q-4) equation:

Simplifying
2(3 + 2q) = 3(2q + -4)
(3 * 2 + 2q * 2) = 3(2q + -4)
(6 + 4q) = 3(2q + -4)

Reorder the terms:
6 + 4q = 3(-4 + 2q)
6 + 4q = (-4 * 3 + 2q * 3)
6 + 4q = (-12 + 6q)

Solving
6 + 4q = -12 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
6 + 4q + -6q = -12 + 6q + -6q

Combine like terms: 4q + -6q = -2q
6 + -2q = -12 + 6q + -6q

Combine like terms: 6q + -6q = 0
6 + -2q = -12 + 0
6 + -2q = -12

Add '-6' to each side of the equation.
6 + -6 + -2q = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -2q = -12 + -6
-2q = -12 + -6

Combine like terms: -12 + -6 = -18
-2q = -18

Divide each side by '-2'.
q = 9

Simplifying
q = 9