\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}:\frac{3}{5}+\frac{10}{9}\)
\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{10}{21}+\frac{10}{9}\)
\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{100}{63}\)
\(\frac{2}{3}:\frac{x}{5}\) \(=\frac{100}{63}-\frac{5}{7}\)
\(\frac{2}{3}:\frac{x}{5}\) \(=\frac{55}{63}\)
\(\frac{x}{5}\) \(=\frac{2}{3}:\frac{55}{63}\)
\(\frac{x}{5}\) \(=\frac{42}{55}\)
\(\frac{x\cdot11}{55}\) \(=\frac{42}{55}\)
\(\Rightarrow x\cdot11=42\)
\(x\) \(=42:11\)
\(x\) \(=\frac{42}{11}\)
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