4(q-1)-6q=3(2-q)-12

Solution for 4(q-1)-6q=3(2-q)-12 equation:

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

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

Combine like terms: 4q + -6q = -2q
-4 + -2q = 3(2 + -1q) + -12
-4 + -2q = (2 * 3 + -1q * 3) + -12
-4 + -2q = (6 + -3q) + -12

Reorder the terms:
-4 + -2q = 6 + -12 + -3q

Combine like terms: 6 + -12 = -6
-4 + -2q = -6 + -3q

Solving
-4 + -2q = -6 + -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.
-4 + -2q + 3q = -6 + -3q + 3q

Combine like terms: -2q + 3q = 1q
-4 + 1q = -6 + -3q + 3q

Combine like terms: -3q + 3q = 0
-4 + 1q = -6 + 0
-4 + 1q = -6

Add '4' to each side of the equation.
-4 + 4 + 1q = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 1q = -6 + 4
1q = -6 + 4

Combine like terms: -6 + 4 = -2
1q = -2

Divide each side by '1'.
q = -2

Simplifying
q = -2