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

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

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

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

Reorder the terms:
2 + 2q = 3(-6 + q)
2 + 2q = (-6 * 3 + q * 3)
2 + 2q = (-18 + 3q)

Solving
2 + 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.
2 + 2q + -3q = -18 + 3q + -3q

Combine like terms: 2q + -3q = -1q
2 + -1q = -18 + 3q + -3q

Combine like terms: 3q + -3q = 0
2 + -1q = -18 + 0
2 + -1q = -18

Add '-2' to each side of the equation.
2 + -2 + -1q = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -1q = -18 + -2
-1q = -18 + -2

Combine like terms: -18 + -2 = -20
-1q = -20

Divide each side by '-1'.
q = 20

Simplifying
q = 20