8(3q+4)+1=3(12q-1)

Solution for 8(3q+4)+1=3(12q-1) equation:

Simplifying
8(3q + 4) + 1 = 3(12q + -1)

Reorder the terms:
8(4 + 3q) + 1 = 3(12q + -1)
(4 * 8 + 3q * 8) + 1 = 3(12q + -1)
(32 + 24q) + 1 = 3(12q + -1)

Reorder the terms:
32 + 1 + 24q = 3(12q + -1)

Combine like terms: 32 + 1 = 33
33 + 24q = 3(12q + -1)

Reorder the terms:
33 + 24q = 3(-1 + 12q)
33 + 24q = (-1 * 3 + 12q * 3)
33 + 24q = (-3 + 36q)

Solving
33 + 24q = -3 + 36q

Solving for variable 'q'.

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

Add '-36q' to each side of the equation.
33 + 24q + -36q = -3 + 36q + -36q

Combine like terms: 24q + -36q = -12q
33 + -12q = -3 + 36q + -36q

Combine like terms: 36q + -36q = 0
33 + -12q = -3 + 0
33 + -12q = -3

Add '-33' to each side of the equation.
33 + -33 + -12q = -3 + -33

Combine like terms: 33 + -33 = 0
0 + -12q = -3 + -33
-12q = -3 + -33

Combine like terms: -3 + -33 = -36
-12q = -36

Divide each side by '-12'.
q = 3

Simplifying
q = 3