5(4q+3)-9=6(3q-8)

Solution for 5(4q+3)-9=6(3q-8) equation:

Simplifying
5(4q + 3) + -9 = 6(3q + -8)

Reorder the terms:
5(3 + 4q) + -9 = 6(3q + -8)
(3 * 5 + 4q * 5) + -9 = 6(3q + -8)
(15 + 20q) + -9 = 6(3q + -8)

Reorder the terms:
15 + -9 + 20q = 6(3q + -8)

Combine like terms: 15 + -9 = 6
6 + 20q = 6(3q + -8)

Reorder the terms:
6 + 20q = 6(-8 + 3q)
6 + 20q = (-8 * 6 + 3q * 6)
6 + 20q = (-48 + 18q)

Solving
6 + 20q = -48 + 18q

Solving for variable 'q'.

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

Add '-18q' to each side of the equation.
6 + 20q + -18q = -48 + 18q + -18q

Combine like terms: 20q + -18q = 2q
6 + 2q = -48 + 18q + -18q

Combine like terms: 18q + -18q = 0
6 + 2q = -48 + 0
6 + 2q = -48

Add '-6' to each side of the equation.
6 + -6 + 2q = -48 + -6

Combine like terms: 6 + -6 = 0
0 + 2q = -48 + -6
2q = -48 + -6

Combine like terms: -48 + -6 = -54
2q = -54

Divide each side by '2'.
q = -27

Simplifying
q = -27