\(A=6-\dfrac{2}{3}+\dfrac{1}{3}-5-\dfrac{5}{7}+\dfrac{3}{2}-3+\dfrac{7}{3}-\dfrac{5}{2}\)
\(A=\left(6-5-3\right)+\left(\dfrac{1}{3}-\dfrac{2}{3}+\dfrac{7}{3}\right)+\left(\dfrac{3}{2}-\dfrac{5}{2}\right)-\dfrac{5}{7}\)
\(A=-2+2-1-\dfrac{5}{7}\)
\(A=-1\dfrac{5}{7}\)