`5/8-x-1/6=1/4`
`5/8-x=1/4+1/6`
`5/8-x=3/12+2/12=5/12`
`x=5/8-5/12`
`x=15/24-10/24`
`x=5/24`
\(\dfrac{5}{8}-x-\dfrac{1}{6}=\dfrac{1}{4}\)
\(\dfrac{5}{8}-x=\dfrac{1}{4}+\dfrac{1}{6}\)
\(\dfrac{5}{8}-x=\dfrac{6}{24}+\dfrac{4}{24}\)
\(\dfrac{5}{8}-x=\dfrac{5}{12}\)
\(x=\dfrac{5}{8}-\dfrac{5}{12}\)
\(x=\dfrac{30}{48}-\dfrac{20}{48}\)
\(x=\dfrac{5}{24}\)