.50(4q+12)=2+3(6-q)

Solution for .50(4q+12)=2+3(6-q) equation:

Simplifying
0.50(4q + 12) = 2 + 3(6 + -1q)

Reorder the terms:
0.50(12 + 4q) = 2 + 3(6 + -1q)
(12 * 0.50 + 4q * 0.50) = 2 + 3(6 + -1q)
(6 + 2q) = 2 + 3(6 + -1q)
6 + 2q = 2 + (6 * 3 + -1q * 3)
6 + 2q = 2 + (18 + -3q)

Combine like terms: 2 + 18 = 20
6 + 2q = 20 + -3q

Solving
6 + 2q = 20 + -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 = 20 + -3q + 3q

Combine like terms: 2q + 3q = 5q
6 + 5q = 20 + -3q + 3q

Combine like terms: -3q + 3q = 0
6 + 5q = 20 + 0
6 + 5q = 20

Add '-6' to each side of the equation.
6 + -6 + 5q = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 5q = 20 + -6
5q = 20 + -6

Combine like terms: 20 + -6 = 14
5q = 14

Divide each side by '5'.
q = 2.8

Simplifying
q = 2.8