Question

2.\(\left|5x-3\right|-2x=14\)

Answer 1

\(\left|5x-3\right|-2x=14\\ \Leftrightarrow\left|5x-3\right|=14+2x\\ \Leftrightarrow\left[{}\begin{matrix}5x-3=14+2x\\5x-3=-14-2x\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}3x=17\\7x=-11\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{17}{3}\\x=-\dfrac{11}{7}\end{matrix}\right.\)

Answer 2

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Answer 3

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Answer 4

|5x - 3| - 2x = 14

\(\Leftrightarrow\left[{}\begin{matrix}5x-3\Leftrightarrow x\ge\dfrac{3}{5}\\-5x+3\Leftrightarrow x< \dfrac{3}{5}\end{matrix}\right.\)

Với: x >= 3/5 , ta có:

5x - 3 - 2x = 14

<=> 3x = 17

<=> x = 17/3

Với x < 3/5, ta có

-5x + 3 - 2x = 14

<=> -7x = 11
<=> x = -11/7