a: \(\Leftrightarrow x\cdot\dfrac{11}{3}=\dfrac{67}{6}-\dfrac{11}{2}=\dfrac{67}{6}-\dfrac{33}{6}=\dfrac{34}{6}=\dfrac{17}{3}\)
\(\Leftrightarrow x=\dfrac{17}{3}:\dfrac{11}{3}=\dfrac{17}{3}\cdot\dfrac{3}{11}=\dfrac{17}{11}\)
b: \(\Leftrightarrow x\cdot\dfrac{13}{5}=\dfrac{44}{35}+\dfrac{1}{7}=\dfrac{44}{35}+\dfrac{5}{35}=\dfrac{49}{35}=\dfrac{7}{5}\)
\(\Leftrightarrow x=\dfrac{7}{5}:\dfrac{13}{5}=\dfrac{7}{5}\cdot\dfrac{5}{13}=\dfrac{7}{13}\)
c: \(\Leftrightarrow\left(x\cdot\dfrac{14}{5}+50\right)=-51\cdot\dfrac{2}{3}=-34\)
\(\Leftrightarrow x\cdot\dfrac{14}{5}=-84\)
\(\Leftrightarrow x=-84:\dfrac{14}{5}=-84\cdot\dfrac{5}{14}=-30\)
d: \(\Leftrightarrow-2x+\dfrac{9}{2}=\dfrac{13}{2}:\dfrac{65}{61}=\dfrac{13}{2}\cdot\dfrac{61}{65}=\dfrac{61}{10}\)
\(\Leftrightarrow-2x=\dfrac{61}{10}-\dfrac{45}{10}=\dfrac{16}{10}=\dfrac{8}{5}\)
hay x=-4/5