-3(2-q)=6(q+1)

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

Simplifying
-3(2 + -1q) = 6(q + 1)
(2 * -3 + -1q * -3) = 6(q + 1)
(-6 + 3q) = 6(q + 1)

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

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

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

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

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

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

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

Divide each side by '-3'.
q = -4

Simplifying
q = -4