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\(a,\dfrac{3}{4}:\dfrac{6}{x}=\dfrac{5}{4}\\ \dfrac{6}{x}=\dfrac{3}{4}:\dfrac{5}{4}\\ \dfrac{6}{x}=\dfrac{3}{5}\\ x=6:\dfrac{3}{5}\\ x=10\\ b,\left(x+\dfrac{7}{4}\right)\times\dfrac{2}{3}=6\\ x+\dfrac{7}{4}=6:\dfrac{2}{3}\\x+\dfrac{7}{4}=9\\ x=9-\dfrac{7}{4}\\ x=\dfrac{29}{4}\)
\(\dfrac{3}{5}+\dfrac{4}{3}\times\dfrac{5}{6}=\dfrac{3}{5}+\dfrac{10}{9}=\dfrac{27}{45}+\dfrac{50}{45}=\dfrac{77}{45}\)
\(2-\dfrac{7}{6}+\dfrac{1}{3}=\dfrac{12}{6}-\dfrac{7}{6}+\dfrac{2}{6}=\dfrac{7}{6}\)
\(\dfrac{7}{6}\times3-\dfrac{3}{5}=\dfrac{7}{2}-\dfrac{3}{5}=\dfrac{35}{10}-\dfrac{6}{10}=\dfrac{29}{10}\)
\(x-\dfrac{1}{2}=\dfrac{4}{7}\\ x=\dfrac{4}{7}+\dfrac{1}{2}\\ x=\dfrac{15}{14}\\ \dfrac{19}{7}-x=\dfrac{27}{2}-1\\ \dfrac{19}{7}-x=\dfrac{25}{2}\\ x=\dfrac{19}{7}-\dfrac{25}{2}\\ x=-\dfrac{137}{14}\)
\(x=\dfrac{4}{7}+\dfrac{1}{2}=\dfrac{8}{14}+\dfrac{7}{14}=\dfrac{15}{14}\)