\(\left[\dfrac{1}{3}\left(\dfrac{6}{5}-\dfrac{9}{4}\right)-\dfrac{7}{5}\left(\dfrac{15}{14}+\dfrac{5}{7}\right)\right]:\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{5}{6}\right)\)
\(=\left[\dfrac{1}{3}.\dfrac{6}{5}-\dfrac{1}{3}.\dfrac{9}{4}-\dfrac{7}{5}.\dfrac{15}{14}-\dfrac{7}{5}.\dfrac{5}{7}\right]:\left(\dfrac{3}{2.3}-\dfrac{2}{3.2}+\dfrac{5}{6}\right)\)
\(=\left[\dfrac{2}{5}-\dfrac{3}{4}-\dfrac{3}{2}-1\right]:\left(\dfrac{3}{6}-\dfrac{2}{6}+\dfrac{5}{6}\right)\)
\(=\left[\dfrac{2.4}{5.4}-\dfrac{3.5}{4.5}-\dfrac{3.10}{2.10}-\dfrac{20}{20}\right]:1\)
\(=\dfrac{8}{20}-\dfrac{15}{20}-\dfrac{30}{20}-\dfrac{20}{20}\)
\(=-\dfrac{57}{20}\)