\(\left(\frac{1}{4}\cdot x-\frac{1}{8}\right)\cdot\frac{3}{4}=\frac{1}{4}\)
\(\frac{1}{4}\cdot x-\frac{1}{8}=\frac{1}{4}:\frac{3}{4}\)
\(\frac{1}{4}\cdot x-\frac{1}{8}=\frac{1}{3}\)
\(\frac{1}{4}\cdot x=\frac{1}{3}+\frac{1}{8}\)
\(\frac{1}{4}\cdot x=\frac{11}{24}\)
\(x=\frac{11}{24}:\frac{1}{4}\)
\(x=\frac{11}{6}\)