\(\frac{4}{5}+\frac{1}{6}-\frac{4}{9}=\frac{29}{30}-\frac{4}{9}=\frac{87}{90}-\frac{40}{90}=\frac{11}{30}\)
\(\frac{2}{3}-\frac{1}{4}=\frac{8}{12}-\frac{3}{12}=\frac{5}{12}\)
\(\frac{5}{12}=\frac{150}{360};\frac{11}{30}=\frac{132}{360}\)
\(x=\frac{19}{360}\)