2(4q+3)=5(2q-6)

Solution for 2(4q+3)=5(2q-6) equation:

Simplifying
2(4q + 3) = 5(2q + -6)

Reorder the terms:
2(3 + 4q) = 5(2q + -6)
(3 * 2 + 4q * 2) = 5(2q + -6)
(6 + 8q) = 5(2q + -6)

Reorder the terms:
6 + 8q = 5(-6 + 2q)
6 + 8q = (-6 * 5 + 2q * 5)
6 + 8q = (-30 + 10q)

Solving
6 + 8q = -30 + 10q

Solving for variable 'q'.

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

Add '-10q' to each side of the equation.
6 + 8q + -10q = -30 + 10q + -10q

Combine like terms: 8q + -10q = -2q
6 + -2q = -30 + 10q + -10q

Combine like terms: 10q + -10q = 0
6 + -2q = -30 + 0
6 + -2q = -30

Add '-6' to each side of the equation.
6 + -6 + -2q = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -2q = -30 + -6
-2q = -30 + -6

Combine like terms: -30 + -6 = -36
-2q = -36

Divide each side by '-2'.
q = 18

Simplifying
q = 18