Answer :

So,

5 - 9w = 1 + 3w

Add 9w to both sides (for convenience).
5 = 1 + 12w

Subtract 1 from both sides.
4 = 12w

Divide both sides by 12.
[tex] \frac{4}{12} \ or \ \frac{1}{3} =w[/tex]

S = {[tex] \frac{1}{3} [/tex]}