3(2+q)=6(4+q)

Solution for 3(2+q)=6(4+q) equation:

Simplifying
3(2 + q) = 6(4 + q)
(2 * 3 + q * 3) = 6(4 + q)
(6 + 3q) = 6(4 + q)
6 + 3q = (4 * 6 + q * 6)
6 + 3q = (24 + 6q)

Solving
6 + 3q = 24 + 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 + 3q + -6q = 24 + 6q + -6q

Combine like terms: 3q + -6q = -3q
6 + -3q = 24 + 6q + -6q

Combine like terms: 6q + -6q = 0
6 + -3q = 24 + 0
6 + -3q = 24

Add '-6' to each side of the equation.
6 + -6 + -3q = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -3q = 24 + -6
-3q = 24 + -6

Combine like terms: 24 + -6 = 18
-3q = 18

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

Simplifying
q = -6