Tìm x biết |2x - 1| = |3x - 4|

|${2}$${x}$ - ${1}$| = |${3}$${x}$ - ${4}$|

$\Leftrightarrow$$\left[\begin{matrix} 2x - 1 = 3x - 4\\ 2x-1=-(3x - 4)\end{matrix}\right.$

`<=>`$\left[\begin{matrix} 2x - 3x = -4 + 1\\ 2x - 1 = -3x + 4\end{matrix}\right.$

$\Leftrightarrow$$\left[\begin{matrix} -x=-3\\ 2x + 3x = 4 + 1\end{matrix}\right.$

$\Leftrightarrow$$\left[\begin{matrix} x = 3\\ 5x=5\end{matrix}\right.$

$\Leftrightarrow$$\left[\begin{matrix} x= 3\\ x= 5 : 5\end{matrix}\right.$

$\Leftrightarrow$$\left[\begin{matrix} x=3\\ x= 1\end{matrix}\right.$

Vậy ${x}$ $\in$ {${1}$; ${3}$}

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