\(\dfrac{2}{3}+\dfrac{4}{7}\times\dfrac{1}{x}=\dfrac{1}{6}\)
\(\dfrac{4}{7}\times\dfrac{1}{x}=\dfrac{1}{6}-\dfrac{2}{3}\)
\(\dfrac{4}{7}\times\dfrac{1}{x}=-\dfrac{1}{2}\)
\(\dfrac{1}{x}=-\dfrac{1}{2}:\dfrac{4}{7}\)
\(\dfrac{1}{x}=-\dfrac{1}{2}\times\dfrac{7}{4}\)
\(\dfrac{1}{x}=-\dfrac{7}{8}\)
\(x=-\dfrac{8}{7}\)
`2/3+4/7:x=1/6`
`4/7:x=1/6-2/3`
`4/7:x=-1/2`
`x=4/7:(-1/2)`
`x=-8/7`
\(\dfrac{2}{3}+\dfrac{4}{7}:x=\dfrac{1}{6}\)
\(=>\dfrac{4}{7}:x=\dfrac{1}{6}-\dfrac{2}{3}=\dfrac{1}{6}-\dfrac{4}{6}=-\dfrac{3}{6}=-\dfrac{1}{2}\)
\(=>x=\dfrac{4}{7}:\left(-\dfrac{1}{2}\right)=-\dfrac{8}{7}\)