2q+6=3(q+6)

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

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

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

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