$\begin{array}{l} a)\,\,31x=62 \\\Leftrightarrow x=62\div31\\\Leftrightarrow x=2 \\\text{Vậy}\,\,x=2 \\\,\\b)\,\,36|x|=72 \\\Leftrightarrow |x|=72\div36 \\\Leftrightarrow |x| = 2 \\\Leftrightarrow \left[ \begin{array}{l}x=2\\x=-2\end{array} \right.\\\text{Vậy} \,\,x \in \{2;-2\} \\\,\\ c)\,\,17x+6=60 \\\Leftrightarrow 17x=60-6 \\\Leftrightarrow 17x=54 \\\Leftrightarrow x=\dfrac{54}{17} \\\text{Vậy}\,\,x=\dfrac{54}{17} \\\,\\ d)\,\,5|x|+5=38-3 \\\Leftrightarrow 5|x|=38-3-5 \\\Leftrightarrow 5|x|=30 \\\Leftrightarrow |x|=30\div5\\\Leftrightarrow |x|=6 \\\Leftrightarrow \left[ \begin{array}{l}x=6\\x=-6\end{array} \right. \\\text{Vậy}\,\,x\in\{6;-6\}\end{array}$