6+2q=3(q+2)+12

Solution for 6+2q=3(q+2)+12 equation:

Simplifying
6 + 2q = 3(q + 2) + 12

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

Reorder the terms:
6 + 2q = 6 + 12 + 3q

Combine like terms: 6 + 12 = 18
6 + 2q = 18 + 3q

Solving
6 + 2q = 18 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
6 + 2q + -3q = 18 + 3q + -3q

Combine like terms: 2q + -3q = -1q
6 + -1q = 18 + 3q + -3q

Combine like terms: 3q + -3q = 0
6 + -1q = 18 + 0
6 + -1q = 18

Add '-6' to each side of the equation.
6 + -6 + -1q = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -1q = 18 + -6
-1q = 18 + -6

Combine like terms: 18 + -6 = 12
-1q = 12

Divide each side by '-1'.
q = -12

Simplifying
q = -12