Tìm x, biết: a)|2x+3|=5 b) |2x-1|=|2x+3| c)|x-1|+3x=1 d)|5x-3|-x=7

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$\begin{array}{l} a)\,\,\,\,\left| {2x + 3} \right| = 5\\ \Rightarrow \left[ \begin{array}{l} 2x + 3 = 5\\ 2x - 3 = 5 \end{array} \right. \Rightarrow \left[ \begin{array}{l} 2x = 2\\ 2x = 8 \end{array} \right. \Rightarrow \left[ \begin{array}{l} x = 1\\ x = 4 \end{array} \right.\\ b)\,\,\,\left| {2x - 1} \right| = \left| {2x + 3} \right|\\ \Rightarrow \left[ \begin{array}{l} 2x - 1 = 2x + 3\\ 2x - 1 = - 2x - 3 \end{array} \right. \Rightarrow \left[ \begin{array}{l} 2x - 2x = 3 + 1\\ 2x + 2x = - 3 + 1 \end{array} \right.\\ \Rightarrow \left[ \begin{array}{l} 0x = 4\,\,(vo\,\,li)\\ 4x = - 2\,\,\, \end{array} \right. \Rightarrow x = \dfrac{{ - 1}}{2} \end{array}$

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