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