Lời giải:
$|x+\frac{1}{4}|-3,1=1,1$
$|x+\frac{1}{4}|=1,1+3,1=4,2$
\(\Rightarrow \left[\begin{matrix}
x+\frac{1}{4}=4,2\\
x+\frac{1}{4}=-4,2\end{matrix}\right.\Leftrightarrow \left[\begin{matrix}
x=\frac{79}{20}\\
x=\frac{-89}{20}\end{matrix}\right.\)