\(2-\left|\dfrac{3}{2}x-\dfrac{1}{4}\right|=\left|-\dfrac{5}{4}\right|\)
\(\Rightarrow2-\left|\dfrac{3}{2}x-\dfrac{1}{4}\right|=\dfrac{5}{4}\)
\(\Rightarrow\left|\dfrac{3}{2}x-\dfrac{1}{4}\right|=2-\dfrac{5}{4}\)
\(\Rightarrow\left|\dfrac{3}{2}x-\dfrac{1}{4}\right|=\dfrac{3}{4}\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{3}{2}x-\dfrac{1}{4}=\dfrac{3}{4}\Rightarrow\dfrac{3}{2}x=1\Rightarrow x=\dfrac{2}{3}\\\dfrac{3}{2}x-\dfrac{1}{4}=-\dfrac{3}{4}\Rightarrow\dfrac{3}{2}x=-\dfrac{1}{2}\Rightarrow x=-\dfrac{1}{3}\end{matrix}\right.\)
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