Verified Answer :

3w +2 =7w
-3w       -3w
2=4w
Divide each side by 4
1/2=w

Check your answer:
3 (1/2) + 2 = 7 (1/2)
(3/2) + (4/2) = (7/2)
(7/2) = (7/2)

Hope this helps.

\(3w + 2 = 7w\) 

\(3w + 2 = 7w:w\)  \(|Solve \ for \ w|\) 

\(2=7w-3w\)   \(|Subtract \ 3w \ from \ both \ sides|\)

\(2=4w\) 

\(\dfrac{2}{4}=w\)   \(|Divide \ both \ sides \ by \ 4|\)

\(w= \dfrac{1}{2}\)