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

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

Simplifying
3(q + 2) = 2(3 + -1q)

Reorder the terms:
3(2 + q) = 2(3 + -1q)
(2 * 3 + q * 3) = 2(3 + -1q)
(6 + 3q) = 2(3 + -1q)
6 + 3q = (3 * 2 + -1q * 2)
6 + 3q = (6 + -2q)

Add '-6' to each side of the equation.
6 + -6 + 3q = 6 + -6 + -2q

Combine like terms: 6 + -6 = 0
0 + 3q = 6 + -6 + -2q
3q = 6 + -6 + -2q

Combine like terms: 6 + -6 = 0
3q = 0 + -2q
3q = -2q

Solving
3q = -2q

Solving for variable 'q'.

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

Add '2q' to each side of the equation.
3q + 2q = -2q + 2q

Combine like terms: 3q + 2q = 5q
5q = -2q + 2q

Combine like terms: -2q + 2q = 0
5q = 0

Divide each side by '5'.
q = 0

Simplifying
q = 0