Решите уравнение: 2/3/4/9x-4/9+1/20=4/5.




693(1)

\[\frac{2}{3}:\left(\frac{4}{9}x-\frac{4}{9}\right)+\frac{1}{20}=\frac{4}{5}\]

\[\frac{2}{3}:\left(\frac{4}{9}x-\frac{4}{9}\right)=\frac{4}{5}-\frac{1}{20}=\frac{3}{4}\]

\[\frac{4}{9}x-\frac{4}{9}=\frac{2}{3}:\frac{3}{4}=\frac{8}{9}\]

\[\frac{4}{9}x=\frac{8}{9}+\frac{4}{9}=\frac{12}{9}\]

\[x=\frac{12}{9}:\frac{4}{9}=3\]

Ответ: \(x=3\).

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