\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}:\frac{3}{5}+\frac{9}{10}\)
\(\frac{2}{3}.\frac{5}{x}=\frac{2}{7}.\frac{5}{3}+\frac{9}{10}-\frac{5}{7}\)
\(\frac{10}{3}:x=\frac{10}{21}+\frac{9}{10}-\frac{5}{7}=\frac{100+189-150}{210}=\frac{139}{210}\)
\(x=\frac{700}{139}\)