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

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

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

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

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

Solving
6 + 4q = -6 + 12q

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-12q' to each side of the equation.
6 + 4q + -12q = -6 + 12q + -12q

Combine like terms: 4q + -12q = -8q
6 + -8q = -6 + 12q + -12q

Combine like terms: 12q + -12q = 0
6 + -8q = -6 + 0
6 + -8q = -6

Add '-6' to each side of the equation.
6 + -6 + -8q = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -8q = -6 + -6
-8q = -6 + -6

Combine like terms: -6 + -6 = -12
-8q = -12

Divide each side by '-8'.
q = 1.5

Simplifying
q = 1.5