Ответ:

Подставим \(k=-2\):

\(\frac{5k+7}{5k-7}:\frac{5k}{10k-14}=\frac{-10+7}{-10-7}:\frac{-10}{-20-14}=\frac{3}{17}:\frac{5}{17}=\frac{3}{17}\cdot\frac{17}{5}=\frac{3}{5}\).

Ответ: \(\frac{3}{5}\).