Verified Answer :

\(\dfrac{4}{9}(x+3)=g\ \ \ \ |multiply\ both\ sides\ by\ 9\\\\4(x+3)=9g\ \ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\4x+12=9g\ \ \ \ |subtract\ 12\ from\ both\ sides\\\\4x=9g-12\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{x=\frac{9}{4}g-3}\)

\(\frac{4}{9(x+3)} = g\) 

\(\frac{4(x+3)}{9} =g\) 

 \(4(x+3)=g*9\)       \(||Multiply- both -sides -by-\ \textgreater \ 9||\)  

\(4(x+3)=9g\)         \(||Regroup -terms||\) 

\(x+3= \frac{9g}{4}\)    \(||Divide- both -sides- by-\ \textgreater \ 4||\) 

\(x= \frac{9g}{4} -3\)