(Q-11)(3)=(q+13)(2)

Solution for (Q-11)(3)=(q+13)(2) equation:

Simplifying
(Q + -11)(3) = (q + 13)(2)

Reorder the terms:
(-11 + Q)(3) = (q + 13)(2)

Reorder the terms for easier multiplication:
3(-11 + Q) = (q + 13)(2)
(-11 * 3 + Q * 3) = (q + 13)(2)
(-33 + 3Q) = (q + 13)(2)

Reorder the terms:
-33 + 3Q = (13 + q)(2)

Reorder the terms for easier multiplication:
-33 + 3Q = 2(13 + q)
-33 + 3Q = (13 * 2 + q * 2)
-33 + 3Q = (26 + 2q)

Solving
-33 + 3Q = 26 + 2q

Solving for variable 'Q'.

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

Add '33' to each side of the equation.
-33 + 33 + 3Q = 26 + 33 + 2q

Combine like terms: -33 + 33 = 0
0 + 3Q = 26 + 33 + 2q
3Q = 26 + 33 + 2q

Combine like terms: 26 + 33 = 59
3Q = 59 + 2q

Divide each side by '3'.
Q = 19.66666667 + 0.6666666667q

Simplifying
Q = 19.66666667 + 0.6666666667q