Ответ:

\(\left(5.4-3\frac{9}{16}x\right):\frac{3}{13}=10-5\frac18=\frac{39}{8}\).

Умножим на \(\frac{3}{13}\): \(5.4-3\frac{9}{16}x=\frac{39}{8}\cdot\frac{3}{13}=\frac98\).

\(3\frac{9}{16}x=\frac{27}{5}-\frac98=\frac{171}{40}\).

\(x=\frac{171}{40}:\frac{57}{16}=\frac{3}{5}\).

Ответ: \(x=0,6\).