Ta có | x - 7 | + 2x + 5 = 0
⇔ | x - 7 | = - 5 - 2x
⇔\(\left[{}\begin{matrix}x-7=-5-2x\\x-7=2x+5\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x+2x=-5+7\\x-2x=5+7\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}3x=2\\-x=12\end{matrix}\right.\)
⇔\(\left[{}\begin{matrix}x=\frac{2}{3}\\x=-12\end{matrix}\right.\)
Vậy \(x\in\left\{\frac{2}{3};-12\right\}\)
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Chiyuki Fujito