$\textit{1) x + $\frac{1}{2}$ =$\frac{2}{7}$}$
$\textit{$\longrightarrow$ x= $\frac{2}{7}$ - $\frac{1}{2}$ }$
$\textit{$\longrightarrow$ x=-$\frac{3}{14}$}$
$\textit{ | x- $\frac{5}{2}$ | = $\frac{1}{3}$}$
$\textit{TH1:x > 0}$
$\textit{$\longrightarrow$ x-$\frac{5}{2}$ = $\frac{1}{3}$}$
$\textit{$\longrightarrow$ x=$\frac{1}{3}$ + $\frac{5}{2}$ }$
$\textit{$\longrightarrow$ x=$\frac{17}{6}$}$
$\textit{TH2:x<0}$
$\textit{$\longrightarrow$ x-$\frac{5}{2}$ = -$\frac{1}{3}$}$
$\textit{$\longrightarrow$ x=-$\frac{1}{3}$ + $\frac{5}{2}$}$
$\textit{$\longrightarrow$ x=$\frac{13}{6}$}$