Có: 2\(\mid\)3x - 1\(\mid\) + 1 = 5
=> 2\(\mid\)3x - 1\(\mid\) = 4
=>\(\mid\)3x - 1\(\mid\)= 2
=> 3x - 1 = 2 hoặc 3x - 1 = -2
=> 3x = 3 hoặc 3x = -1
=> x = 1 hoặc x = \(\dfrac{-1}{3}\)
\(2\left|3x-1\right|+1=5\\ \Leftrightarrow2\left|3x-1\right|=4\\ \Leftrightarrow\left|3x-1\right|=2\\ \Leftrightarrow\left[{}\begin{matrix}3x-1=2\\3x-1=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=3\\3x=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{3}\end{matrix}\right.\)
Vậy \(x=1\) hoặc \(x=-\dfrac{1}{3}\)
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