Найдите корень уравнения: 3/5*(7/9*x-1/3)=x-2 1/3.

Ответ:

\[\frac{3}{5} \cdot \left( \frac{7}{9}x - \frac{1}{3} \right) = x - 2\frac{1}{3}\]

\[\frac{3 \cdot 7}{5 \cdot 9}x - \frac{3 \cdot 1}{5 \cdot 3} = x - \frac{7}{3}\]

\[x - \frac{7}{15}x = - \frac{1}{5} + \frac{7}{3}\]

\[\frac{8}{15}x = \frac{35}{15} - \frac{3}{15}\]

\[\frac{8}{15}x = \frac{32}{15}\]

\[x = \frac{32 \cdot 15}{15 \cdot 8}\]

\[x = 4.\]