2(q+3)=4q+q-9

Solution for 2(q+3)=4q+q-9 equation:

Simplifying
2(q + 3) = 4q + q + -9

Reorder the terms:
2(3 + q) = 4q + q + -9
(3 * 2 + q * 2) = 4q + q + -9
(6 + 2q) = 4q + q + -9

Reorder the terms:
6 + 2q = -9 + 4q + q

Combine like terms: 4q + q = 5q
6 + 2q = -9 + 5q

Solving
6 + 2q = -9 + 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
6 + 2q + -5q = -9 + 5q + -5q

Combine like terms: 2q + -5q = -3q
6 + -3q = -9 + 5q + -5q

Combine like terms: 5q + -5q = 0
6 + -3q = -9 + 0
6 + -3q = -9

Add '-6' to each side of the equation.
6 + -6 + -3q = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3q = -9 + -6
-3q = -9 + -6

Combine like terms: -9 + -6 = -15
-3q = -15

Divide each side by '-3'.
q = 5

Simplifying
q = 5