`9/2 - 3/5 xx ( x +1/3)=1/2`
`=> 3/5 xx ( x +1/3)=9/2-1/2`
`=> 3/5 xx ( x +1/3)= 8/2`
`=> 3/5 xx ( x +1/3)=4`
`=> x+1/3= 4 :3/5`
`=> x+1/3= 4 xx 5/3`
`=> x +1/3= 20/3`
`=> x= 20/3-1/3`
`=>x=19/3`
\(\dfrac{9}{2}-\dfrac{3}{5}\times\left(x+\dfrac{1}{3}\right)=\dfrac{1}{2}\)
\(\Rightarrow\dfrac{9}{2}-\dfrac{3}{5}x+\dfrac{1}{5}=\dfrac{1}{2}\)
\(\Rightarrow\dfrac{47}{10}-\dfrac{3}{5}x=\dfrac{1}{2}\)
\(\Rightarrow\dfrac{47}{10}-\dfrac{1}{2}=\dfrac{3}{5}x\)
\(\Rightarrow\dfrac{42}{10}=\dfrac{3}{5}x\)
\(\Rightarrow x=\dfrac{42}{10}:\dfrac{3}{5}\)
\(\Rightarrow x=\dfrac{210}{30}=7\)