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

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

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

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

Reorder the terms:
6 + 3q = 2(5 + q)
6 + 3q = (5 * 2 + q * 2)
6 + 3q = (10 + 2q)

Solving
6 + 3q = 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 + 3q + -2q = 10 + 2q + -2q

Combine like terms: 3q + -2q = 1q
6 + 1q = 10 + 2q + -2q

Combine like terms: 2q + -2q = 0
6 + 1q = 10 + 0
6 + 1q = 10

Add '-6' to each side of the equation.
6 + -6 + 1q = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1q = 10 + -6
1q = 10 + -6

Combine like terms: 10 + -6 = 4
1q = 4

Divide each side by '1'.
q = 4

Simplifying
q = 4