a) \(x-\dfrac{1}{2}=2\dfrac{1}{3}\)
\(x-\dfrac{1}{2}=\dfrac{7}{3}\)
\(x=\dfrac{7}{3}+\dfrac{1}{2}=\dfrac{17}{6}\)
b) \(\dfrac{3}{4}:x=1\dfrac{1}{5}-1\dfrac{1}{6}\)
\(\dfrac{3}{4}:x=\dfrac{6}{5}-\dfrac{7}{6}=\dfrac{1}{30}\)
\(x=\dfrac{3}{4}:\dfrac{1}{30}\)
`x=45/2`
c) \(\dfrac{4}{3}-x=1\dfrac{1}{3}\)
`4/3-x=4/3`
`x=4/3-4/3`
`x=0`
d) \(\dfrac{1}{3}+\dfrac{2}{3}\cdot\left(x-\dfrac{1}{5}\right)=\dfrac{1}{3}\)
\(\dfrac{2}{3}\cdot\left(x-\dfrac{1}{5}\right)=\dfrac{1}{3}-\dfrac{1}{3}=0\)
\(x-\dfrac{1}{5}=0:\dfrac{2}{5}\)
\(x-\dfrac{1}{5}=0\)
`x=0+1/5`
`x=1/5`