23/6 : x = 1/4 + 2/5
23/6 : x = 5/20 + 8/20
23/6 : x = 13/20
x = 23/6 : 13/20
x = 23/6 x 20/13
x = 230/39
\(\dfrac{23}{6}:x-\dfrac{2}{5}=\dfrac{1}{4}\)
\(\dfrac{23}{6}:x=\dfrac{1}{4}+\dfrac{2}{5}\)
\(\dfrac{23}{6}:x=\dfrac{13}{20}\)
\(x=\dfrac{23}{6}:\dfrac{13}{20}\)
\(x=\dfrac{230}{39}\)