\(\frac{x}{2}-\left(\frac{1}{2}-1\right):\left(\frac{1}{2}-1-\frac{1}{3}\right)=\frac{1}{4}\)
\(\frac{x}{2}-\left(\frac{1}{2}-\frac{2}{2}\right):\left(\frac{3}{6}-\frac{6}{6}-\frac{2}{6}\right)=\frac{1}{4}\)
\(\frac{x}{2}-\left(-\frac{1}{2}\right):\left(-\frac{5}{6}\right)=\frac{1}{4}\)
\(\frac{x}{2}-\left(-\frac{1}{2}\right).\left(-\frac{6}{5}\right)\)
\(\frac{x}{2}-\frac{3}{5}=\frac{1}{4}\)
\(\frac{x}{2}=-\frac{7}{20}\)
\(x:2=-\frac{7}{20}\)
\(x=-\frac{7}{20}.2\)
\(x=-\frac{7}{10}\)
\(\frac{x}{2}-\left(\frac{1}{2}-1\right):\left(\frac{1}{2}-1-\frac{1}{3}\right)=\frac{1}{4}\)
\(\Rightarrow\frac{x}{2}-\frac{-1}{2}:\frac{-5}{6}=\frac{1}{4}\)
\(\Rightarrow\frac{x}{2}-\frac{3}{5}=\frac{1}{4}\)
\(\Rightarrow\frac{x}{2}=\frac{1}{4}+\frac{3}{5}\)
\(\Rightarrow\frac{x}{2}=\frac{17}{20}\)
\(\Rightarrow\frac{x.10}{2.10}=\frac{17}{20}\)
\(\Rightarrow x.10=17\)
\(\Rightarrow x=\frac{17}{10}\)