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

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

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

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

Reorder the terms:
6 + 3q = 5(5 + q)
6 + 3q = (5 * 5 + q * 5)
6 + 3q = (25 + 5q)

Solving
6 + 3q = 25 + 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
6 + 3q + -5q = 25 + 5q + -5q

Combine like terms: 3q + -5q = -2q
6 + -2q = 25 + 5q + -5q

Combine like terms: 5q + -5q = 0
6 + -2q = 25 + 0
6 + -2q = 25

Add '-6' to each side of the equation.
6 + -6 + -2q = 25 + -6

Combine like terms: 6 + -6 = 0
0 + -2q = 25 + -6
-2q = 25 + -6

Combine like terms: 25 + -6 = 19
-2q = 19

Divide each side by '-2'.
q = -9.5

Simplifying
q = -9.5