\(2-\left(\frac{5}{3}+x-7\frac{5}{24}\right):16\frac{2}{3}=0\)
\(\Rightarrow2-\left(\frac{5}{3}+x-\frac{173}{24}\right)=16\frac{2}{3}.0=0\)
\(\Rightarrow\frac{5}{3}+x-\frac{173}{24}=2\)
\(\Rightarrow1\frac{2}{3}+x=2+\frac{173}{24}=9\frac{5}{24}\)
\(\Rightarrow1\frac{2}{3}+x=9\frac{5}{24}\Rightarrow x=9\frac{5}{24}-1\frac{2}{3}\Rightarrow x=\frac{181}{24}=7\frac{13}{24}\)