3(3q-2)=2(2q+5)

Solution for 3(3q-2)=2(2q+5) equation:

Simplifying
3(3q + -2) = 2(2q + 5)

Reorder the terms:
3(-2 + 3q) = 2(2q + 5)
(-2 * 3 + 3q * 3) = 2(2q + 5)
(-6 + 9q) = 2(2q + 5)

Reorder the terms:
-6 + 9q = 2(5 + 2q)
-6 + 9q = (5 * 2 + 2q * 2)
-6 + 9q = (10 + 4q)

Solving
-6 + 9q = 10 + 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.
-6 + 9q + -4q = 10 + 4q + -4q

Combine like terms: 9q + -4q = 5q
-6 + 5q = 10 + 4q + -4q

Combine like terms: 4q + -4q = 0
-6 + 5q = 10 + 0
-6 + 5q = 10

Add '6' to each side of the equation.
-6 + 6 + 5q = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 5q = 10 + 6
5q = 10 + 6

Combine like terms: 10 + 6 = 16
5q = 16

Divide each side by '5'.
q = 3.2

Simplifying
q = 3.2