\(\left(x+\dfrac{5}{3}\right)\times\dfrac{9}{13}=\dfrac{2}{3}\\ =>x+\dfrac{5}{3}=\dfrac{2}{3}:\dfrac{9}{13}\\ =>x+\dfrac{5}{3}=\dfrac{2}{3}\times\dfrac{13}{9}\\ =>x+\dfrac{5}{3}=\dfrac{26}{27}\\ =>x=\dfrac{26}{27}-\dfrac{5}{3}\\ =>x=\dfrac{26-5.9}{27}\\ =>x=-\dfrac{19}{27}\)
\(\left(x+\dfrac{5}{3}\right).\dfrac{9}{13}=\dfrac{2}{3}\\ \Rightarrow\dfrac{9}{13}x+\dfrac{15}{13}=\dfrac{2}{3}\\ \Rightarrow\dfrac{9}{13}x=\dfrac{2}{3}-\dfrac{15}{13}=\dfrac{26}{39}-\dfrac{45}{39}=\dfrac{-9}{39}=\dfrac{-3}{13}\\ \Rightarrow\dfrac{9}{13}x=\dfrac{-3}{13}\\ \Rightarrow x=\dfrac{-3}{13}:\dfrac{9}{13}=\dfrac{-3}{13}.\dfrac{13}{9}=\dfrac{-3}{9}=\dfrac{-1}{3}\)
`(x+5/3) = 26/27`
`x = 26/27 - 5/3 = -19/27`