\(\frac{1}{2}x-\frac{1}{3}x=\frac{4}{7}+\left(-\frac{5}{8}\right)-\frac{3}{28}\)
\(\frac{1}{2}x-\frac{1}{3}x=\frac{4}{7}-\frac{5}{8}-\frac{3}{28}\)
\(\frac{1}{2}x-\frac{1}{3}x=\frac{32}{56}-\frac{35}{56}-\frac{6}{56}\)
\(\frac{1}{2}x-\frac{1}{3}x=\frac{32-35-6}{56}\)
\(\frac{1}{2}x-\frac{1}{3}x=\frac{-9}{56}\)
\(\frac{1}{2}x-\frac{1}{3}x=-\frac{9}{56}.168\)
\(\frac{1}{2}x-\frac{1}{3}x=-27\)
\(84x-56x=-27\)
\(28x=-27\)
\(x=\frac{-27}{28}\)
\(\Rightarrow x=\frac{-27}{28}\)