$\textit{Đáp án + Giải thích các bước giải:}$
$\text{a) $\dfrac{5}{2}$$x^{}$ - $\dfrac{1}{3}$ = $\dfrac{4}{3}$}$
$\text{$\dfrac{5}{2}$$x^{}$ = $\dfrac{4}{3}$ + $\dfrac{1}{3}$ = $\dfrac{5}{3}$}$
$\text{$x^{}$ = $\dfrac{5}{3}$ : $\dfrac{5}{2}$ = $\dfrac{5}{3}$ . $\dfrac{2}{5}$}$
$\text{$x^{}$ = $\dfrac{2}{3}$}$
$\text{b) $|2x + 0,5|^{}$ = 8,5}$
$\text{$2x^{}$ + 0,5 = ± 8,5}$
$\text{Nếu $2x^{}$ + 0,5 = 8,5}$
$\text{$2x^{}$ = 8,5 - 0,5 = 8}$
$\text{$x^{}$ = 8 : 2}$
$\text{$x^{}$ = 4}$
$\text{$2x^{}$ + 0,5 = -8,5}$
$\text{$2x^{}$ = -8,5 - 0,5 = -9}$
$\text{$x^{}$ = -9 : 2}$
$\text{$x^{}$ = -4,5}$
$\text{Vậy $x^{}$ ∈ {4; -4,5}}$