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

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

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

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

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

Solving
-6 + 9q = 10 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
-6 + 9q + -2q = 10 + 2q + -2q

Combine like terms: 9q + -2q = 7q
-6 + 7q = 10 + 2q + -2q

Combine like terms: 2q + -2q = 0
-6 + 7q = 10 + 0
-6 + 7q = 10

Add '6' to each side of the equation.
-6 + 6 + 7q = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 7q = 10 + 6
7q = 10 + 6

Combine like terms: 10 + 6 = 16
7q = 16

Divide each side by '7'.
q = 2.285714286

Simplifying
q = 2.285714286