If $\left| {\begin{array}{cccccccccccccccccccc}{2x}&5\\8&x\end{array}} \right| = \left| {\begin{array}{cccccccccccccccccccc}6&{ - 2}\\7&3\end{array}} \right|$, then the value of $x$ is
If $\left| {\begin{array}{cccccccccccccccccccc}{2x}&5\\8&x\end{array}} \right| = \left| {\begin{array}{cccccccccccccccccccc}6&{ - 2}\\7&3\end{array}} \right|$, then the value of $x$ is
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$\Rightarrow$ $2{x^2} - 40 = 18 + 14$
$\Rightarrow$ $2{x^2} = 32 + 40$
$\Rightarrow$ ${x^2} = \frac{{72}}{2} = 36$
$\therefore x = \pm 6$
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