3(q+1)=4q

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

Simplifying
3(q + 1) = 4q

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

Solving
3 + 3q = 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
3 + 3q + -4q = 4q + -4q

Combine like terms: 3q + -4q = -1q
3 + -1q = 4q + -4q

Combine like terms: 4q + -4q = 0
3 + -1q = 0

Add '-3' to each side of the equation.
3 + -3 + -1q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1q = 0 + -3
-1q = 0 + -3

Combine like terms: 0 + -3 = -3
-1q = -3

Divide each side by '-1'.
q = 3

Simplifying
q = 3