5) Реши уравнение: \((5,4-3\frac{9}{16}x):\frac{3}{13}+5\frac{1}{8}=10\).

\[\left(5.4-3\frac{9}{16}x\right):\frac{3}{13}=10-5\frac18=4\frac78.\]

\[5.4-3\frac{9}{16}x=4\frac78\cdot\frac{3}{13}=\frac{39}{8}\cdot\frac{3}{13}=\frac98.\]

\[3\frac{9}{16}x=5.4-\frac98=\frac{27}{5}-\frac98=\frac{171}{40}.\]

\[x=\frac{171}{40}:\frac{57}{16}=\frac{171}{40}\cdot\frac{16}{57}=\frac65=1.2.\]

Ответ: \(x=1,2\).