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

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

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

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

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

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

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

Combine like terms: 3q + -3q = 0
2 + 1q = -6 + 0
2 + 1q = -6

Add '-2' to each side of the equation.
2 + -2 + 1q = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 1q = -6 + -2
1q = -6 + -2

Combine like terms: -6 + -2 = -8
1q = -8

Divide each side by '1'.
q = -8

Simplifying
q = -8