a) |2x - 1| = 3x + 2
<=> \(\left[{}\begin{matrix}2x-1=3x+2\\2x-1=-3x-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-3=x\\5x=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-\dfrac{1}{5}\end{matrix}\right.\)
b) \(2x-\dfrac{4}{3}-1\dfrac{2}{3}=1\)
\(2x-\dfrac{4}{3}-\dfrac{5}{3}=1\)
\(2x-\dfrac{9}{3}=1\)
\(2x-3=1\)
<=> x = 4 : 2 = 2
c) \(\left|3x-\dfrac{1}{4}\right|=x-1\dfrac{3}{4}\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-\dfrac{1}{4}=x-1\dfrac{3}{4}\\3x-\dfrac{1}{4}=-x+1\dfrac{3}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=-\dfrac{7}{4}+\dfrac{1}{4}\\4x=\dfrac{7}{4}+\dfrac{1}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=-\dfrac{3}{2}\\4x=2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{3}{4}\\x=\dfrac{1}{2}\end{matrix}\right.\)