Đáp án:
\(x = \dfrac{{687}}{{256}}\)
Giải thích các bước giải:
\(\begin{array}{l}
\left| x \right| - \dfrac{9}{{16}}:\dfrac{{16}}{9} = 2x - 3\\
\to \left| x \right| - \dfrac{{81}}{{256}} = 2x - 3\\
\to \left| x \right| = 2x - \dfrac{{687}}{{256}}\\
\to \left[ \begin{array}{l}
x = 2x - \dfrac{{687}}{{256}}\left( {DK:x \ge 0} \right)\\
x = - 2x + \dfrac{{687}}{{256}}\left( {DK:x < 0} \right)
\end{array} \right.\\
\to \left[ \begin{array}{l}
x = \dfrac{{687}}{{256}}\left( {TM} \right)\\
3x = \dfrac{{687}}{{256}}
\end{array} \right.\\
\to \left[ \begin{array}{l}
x = \dfrac{{687}}{{256}}\\
x = \dfrac{{229}}{{256}}\left( l \right)
\end{array} \right.
\end{array}\)
