\(\left(x+\frac{1}{4}-\frac{1}{3}\right):\left(2+\frac{1}{6}-\frac{1}{4}\right)=\frac{7}{46}\)
\(\left(x+\frac{1}{4}-\frac{1}{3}\right):\) \(\frac{23}{12}\) \(=\frac{7}{46}\)
\(x+\frac{1}{4}-\frac{1}{3}\) \(=\frac{7}{45}\times\frac{23}{12}\)
\(x+\frac{1}{4}-\frac{1}{3}\) \(=\frac{161}{540}\)
\(x+\frac{1}{4}\) \(=\frac{161}{450}+\frac{1}{3}\)
\(x+\frac{1}{4}\) \(=\frac{311}{450}\)
\(x\) \(=\frac{311}{450}-\frac{1}{4}\)
\(x\) \(=\frac{397}{900}\)
\(\left(x+\frac{1}{4}-\frac{1}{3}\right):\left(2+\frac{1}{6}-\frac{1}{4}\right)=\frac{7}{46}\)
\(\Leftrightarrow\left(x-\frac{1}{12}\right):\frac{23}{12}=\frac{7}{46}\)
\(\Leftrightarrow x-\frac{1}{12}=\frac{7}{24}\)
\(\Leftrightarrow x=\frac{3}{8}\)
