\(x\times\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{1}{6}\\ =>x\times\dfrac{1}{2}=\dfrac{3\times6+1\times4}{24}\\ =>x\times\dfrac{1}{2}=\dfrac{11}{12}\\ =>x=\dfrac{11}{12}:\dfrac{1}{2}\\ =>x=\dfrac{11}{12}\times2\\ =>x=\dfrac{11}{6}\)
\(x\times\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{1}{6}\)
\(x\times\dfrac{1}{2}=\dfrac{9}{12}+\dfrac{2}{12}\)
\(x\times\dfrac{1}{2}=\dfrac{11}{12}\)
\(x=\dfrac{11}{12}:\dfrac{1}{2}\)
\(x=\dfrac{11}{6}\)