\(\left|x-\frac{3}{4}\right|-9=\frac{1}{2}\)
\(\left|x-\frac{3}{4}\right|=\frac{19}{2}\)
\(\orbr{\begin{cases}x-\frac{3}{4}=\frac{19}{2}\\x-\frac{3}{4}=-\frac{19}{2}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{41}{4}\\x=-\frac{35}{4}\end{cases}}\)