3(2q+2)=4(2q+1)

Solution for 3(2q+2)=4(2q+1) equation:

Simplifying
3(2q + 2) = 4(2q + 1)

Reorder the terms:
3(2 + 2q) = 4(2q + 1)
(2 * 3 + 2q * 3) = 4(2q + 1)
(6 + 6q) = 4(2q + 1)

Reorder the terms:
6 + 6q = 4(1 + 2q)
6 + 6q = (1 * 4 + 2q * 4)
6 + 6q = (4 + 8q)

Solving
6 + 6q = 4 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
6 + 6q + -8q = 4 + 8q + -8q

Combine like terms: 6q + -8q = -2q
6 + -2q = 4 + 8q + -8q

Combine like terms: 8q + -8q = 0
6 + -2q = 4 + 0
6 + -2q = 4

Add '-6' to each side of the equation.
6 + -6 + -2q = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2q = 4 + -6
-2q = 4 + -6

Combine like terms: 4 + -6 = -2
-2q = -2

Divide each side by '-2'.
q = 1

Simplifying
q = 1