\(\left|\dfrac{1}{4}+x\right|-3,1=1,1\)
\(\Leftrightarrow\left|\dfrac{1}{4}+x\right|=1,1+3,1\)
\(\Leftrightarrow\left|\dfrac{1}{4}+x\right|=4,2\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{4}+x=4,2\\\dfrac{1}{4}+x=-4,2\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4,2-\dfrac{1}{4}\\x=-4,2-\dfrac{1}{4}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3,95\\x=-4,45\end{matrix}\right.\)