6(5q+1)-6=3(4q+3)

Solution for 6(5q+1)-6=3(4q+3) equation:

Simplifying
6(5q + 1) + -6 = 3(4q + 3)

Reorder the terms:
6(1 + 5q) + -6 = 3(4q + 3)
(1 * 6 + 5q * 6) + -6 = 3(4q + 3)
(6 + 30q) + -6 = 3(4q + 3)

Reorder the terms:
6 + -6 + 30q = 3(4q + 3)

Combine like terms: 6 + -6 = 0
0 + 30q = 3(4q + 3)
30q = 3(4q + 3)

Reorder the terms:
30q = 3(3 + 4q)
30q = (3 * 3 + 4q * 3)
30q = (9 + 12q)

Solving
30q = 9 + 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.
30q + -12q = 9 + 12q + -12q

Combine like terms: 30q + -12q = 18q
18q = 9 + 12q + -12q

Combine like terms: 12q + -12q = 0
18q = 9 + 0
18q = 9

Divide each side by '18'.
q = 0.5

Simplifying
q = 0.5