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

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

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

Reorder the terms:
2 + 2(-4 + q) = 3(q + -3) + -9
2 + (-4 * 2 + q * 2) = 3(q + -3) + -9
2 + (-8 + 2q) = 3(q + -3) + -9

Combine like terms: 2 + -8 = -6
-6 + 2q = 3(q + -3) + -9

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

Reorder the terms:
-6 + 2q = -9 + -9 + 3q

Combine like terms: -9 + -9 = -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