a) \(x\times\dfrac{2}{5}-\dfrac{1}{2}\times\dfrac{3}{5}=\dfrac{3}{10}\)
\(x\times\dfrac{2}{5}-\dfrac{3}{10}=\dfrac{3}{10}\)
\(x\times\dfrac{2}{5}=\dfrac{3}{10}+\dfrac{3}{10}\)
\(x\times\dfrac{2}{5}=\dfrac{3}{5}\)
\(x=\dfrac{3}{5}:\dfrac{2}{5}\)
\(x=\dfrac{3}{5}\times\dfrac{5}{2}\)
\(x=\dfrac{3}{2}\)
b) \(\dfrac{7}{20}-\dfrac{1}{2}:x=\dfrac{3}{20}\)
\(\dfrac{1}{2}:x=\dfrac{7}{20}-\dfrac{3}{20}\)
\(\dfrac{1}{2}:x=\dfrac{1}{5}\)
\(x=\dfrac{1}{2}:\dfrac{1}{5}\)
\(x=\dfrac{1}{2}\times5\)
\(x=\dfrac{5}{2}\)
c) \(\dfrac{7}{9}:\left(x-\dfrac{4}{9}\right)=\dfrac{1}{2}\)
\(x-\dfrac{4}{9}=\dfrac{7}{9}:\dfrac{1}{2}\)
\(x-\dfrac{4}{9}=\dfrac{7}{9}.2\)
\(x-\dfrac{4}{9}=\dfrac{14}{9}\)
\(x=\dfrac{14}{9}+\dfrac{4}{9}\)
\(x=2\)