|x-2|-|1-2x|=0 cảm ơn ạ

Answer

`|x - 2| - |1 - 2x| = 0`

`=>` `|x - 2| = 0 + |1 - 2x|`

`=> |x - 2| = |1 - 2x|`

`=>` $\left[\begin{matrix} x - 2 = 1 - 2x\\ x - 2 = - (1 - 2x)\end{matrix}\right.$

`=>` $\left[\begin{matrix} x + 2x = 1 + 2\\ x - 2 = - 1 + 2x\end{matrix}\right.$

`=>` $\left[\begin{matrix} 3x = 3\\ x - 2x = -1 + 2\end{matrix}\right.$

`=>` $\left[\begin{matrix} x = 3 : 3\\ -x = 1\end{matrix}\right.$

`=>` $\left[\begin{matrix} x = 1\\ x = -1\end{matrix}\right.$

Vậy `x \in {1 ; -1}`