\(\left(3-\dfrac{3}{4}+\dfrac{2}{3}\right)-\left(2+\dfrac{4}{3}-\dfrac{3}{2}\right)-\left(1-\dfrac{7}{3}-\dfrac{9}{2}\right)\)
\(=\left(\dfrac{36}{12}-\dfrac{9}{12}+\dfrac{8}{12}\right)-\left(\dfrac{24}{12}+\dfrac{16}{12}-\dfrac{18}{12}\right)-\left(\dfrac{12}{12}-\dfrac{21}{12}-\dfrac{54}{12}\right)\)
\(=\dfrac{19}{12}-\dfrac{22}{12}-\dfrac{-63}{12}=5\)