\(\left(5\frac{4}{9}+x-7\frac{7}{18}\right):15\frac{3}{4}=0\)
\(\Leftrightarrow\left(\frac{49}{9}+x-\frac{133}{18}\right)=\frac{4}{63}\)
\(\Leftrightarrow\frac{98-133}{18}+x=\frac{4}{63}\)
\(\Leftrightarrow-\frac{35}{18}+x=\frac{4}{63}\)
\(\Leftrightarrow x=\frac{4}{63}+\frac{35}{18}=\frac{253}{126}\)