\(2\frac{2}{5}\cdot x+\frac{5}{6}\cdot x-1\frac{1}{4}=35\%\)
\(\frac{12}{5}\cdot x+\frac{5}{6}\cdot x-\frac{5}{4}=\frac{7}{20}\)
\(\frac{12}{5}\cdot x+\frac{5}{6}\cdot x=\frac{7}{20}+\frac{5}{4}\)
\(\frac{12}{5}\cdot x+\frac{5}{6}\cdot x=\frac{6}{5}\)
\(x\cdot\left(\frac{12}{5}+\frac{5}{6}\right)=\frac{6}{5}\)
\(x\cdot\frac{97}{30}=\frac{6}{5}\)
\(x=\frac{6}{5}:\frac{97}{30}\)
\(x=\frac{36}{97}\)