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\(\left|5x-3\right|-2x=14\\ \Leftrightarrow\left|5x-3\right|=14+2x\\ \Leftrightarrow\left[{}\begin{matrix}5x-3=14+2x\\5x-3=-14-2x\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}3x=17\\7x=-11\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{17}{3}\\x=-\dfrac{11}{7}\end{matrix}\right.\)
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a) \(2.\left|5x-3\right|-2x=14\)
\(2\left|5x-3\right|=14+2x\)
\(\left|5x-3\right|=\frac{14+2x}{2}\)
\(\Rightarrow\orbr{\begin{cases}5x-3=\frac{-14-2x}{2}\\5x-3=\frac{14+2x}{2}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\left(5x-3\right).2=-14-2x\\\left(5x-3\right).2=14+2x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}10x-6+2x=-14\\10x-6-2x=14\end{cases}\Rightarrow\orbr{\begin{cases}12x=-14+6\\8x=14+6\end{cases}}}\Rightarrow\orbr{\begin{cases}12x=-8\\8x=20\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-2}{3}\\x=2,5\end{cases}}\)
vậy \(\orbr{\begin{cases}x=\frac{-2}{3}\\x=2,5\end{cases}}\)
Những câu sau tương tự nhé.
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\(2|5x-3|-2x=14\)
\(2|5x-3|=14+2x\)
\(|5x-3|=\frac{14+2x}{2}\)
\(\Leftrightarrow\orbr{\begin{cases}5x-3=\frac{14+2x}{2}\\5x-3=-\frac{14+2x}{2}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\left(5x-3\right)2=14+2x\\\left(5x-3\right)2=-14-2x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}10x-6-2x=-14\\10x-6+2x=14\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}8x=14+6\\12x=-14+6\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}8x=20\\12x=-8\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2,5\\x=-\frac{2}{3}\end{cases}}\)
vậy \(x=2,5\)hoặc\(x=-\frac{2}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2.|5x-3|-2x=14 (1)
+Xét 5x-3>=0 =>5x>=3 =>x>=0.6
Từ (1) ta có:2.(5x-3)-2x=14
10x-6-2x=14
8x=20
x=2.5(thỏa mãn x>=0.6)
+Xét 5x-3<0=>5x<3=>x<0.6
Từ (1) ta có:2.(-(5x-3))-2x=14
2.(-5x+3)-2x=14
-10x+6-2x=14
-12x=8
x=-2/3(thỏa mãn x<0.6)
Vậy x=2.5 hoặc x=-2/3 thì 2.|5x-3|-2x=14
k cho toi nhe!
![](https://rs.olm.vn/images/avt/0.png?1311)
2.|5x - 3| - 2x = 14
2.|5x - 3| = 14 + 2x
<=> |5x - 3| = 7 + x
\(\Rightarrow\orbr{\begin{cases}5x-3=7+x\\5x-3=-7-x\end{cases}}\Rightarrow\orbr{\begin{cases}4x=10\\6x=-4\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{5}{2}\\x=-\frac{2}{3}\end{cases}}\)
2|5x-3|-2x=14
=>2|5x-3|=14+2x
=>2|5x-3|=2.7+2x
=>2|5x-3|=2(7+x)
mik đoán vậy,ko chắc