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35-3.|x|=5.(23-4)
35-3.|x|=5.(8-4)
35-3.|x|=5.4
3.|x|=35-(5.4)
3.|x|=15
|x|=15:3
|x|=5
=>x=5 hoac x=-5
![](https://rs.olm.vn/images/avt/0.png?1311)
l x + 2 l = 0
=>x + 2 =0
=>x=0-2=-2
l x - 3 l = 7 - (-2)
l x - 3 l = 9
th1: x - 3 =9
=>x=9+3=12
th2:x - 3 =-9
=>x=-9+3=-6
l x - 5 l = l-7l
=>l x - 5 l = 7
th1: x - 5 = 7
=>x=7+5=12
th2 x-5=-7
=>x=-7+5=-2
\(\left|x+2\right|=0\Rightarrow x=-2\)
\(\left|x-3\right|=7-(-2)\)
\(\Rightarrow\left|x-3\right|=7+2\)
\(\Rightarrow\hept{\begin{cases}x-3=9\\x-3=-9\end{cases}\Rightarrow}\hept{\begin{cases}x=12\\x=-6\end{cases}}\)
\(\left|x-5\right|=\left|-7\right|\)
\(\Rightarrow\hept{\begin{cases}x-5=-7\\x-5=7\end{cases}\Rightarrow}\hept{\begin{cases}x=-2\\x=12\end{cases}}\)
\(\text{Chúc bạn học tốt }:)\)
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a; |\(x+2\)| = 0
\(x+2=0\)
\(x\) = - 2
Vậy \(x\) = - 2
b; |\(x-5\)| = |-7|
| \(x-5\) | = 7
\(\left[{}\begin{matrix}x=7\\x=-7\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=5+7\\x=-7+5\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=12\\x=-2\end{matrix}\right.\)
Vậy \(x=12\)
\(x=-2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
d, \(\left(3x-2^4\right).7^3=2.7^4\)
\(\Rightarrow3x-2^4=2.7^4:7^3\)
\(\Rightarrow3x-16=2.7\\ \Rightarrow3x=14+16\\ \Rightarrow3x=30\Rightarrow x=10\)
Vậy.....
e, \(x-\left[42+\left(-28\right)\right]=-8\)
\(\Rightarrow x-14=-8\\ \Rightarrow x=6\)
Vậy.....
g, \(x-7=-5\)
\(\Rightarrow x=-5+7\Rightarrow x=2\)
Vậy.....
h, \(15-5\left(x+4\right)=-12-3\)
\(\Rightarrow15-5x-20=-15\)
\(\Rightarrow-5x=-15-15+20\)
\(\Rightarrow-5x=-10\Rightarrow x=2\)
Vậy.....
Chúc bạn học tốt!!!
d/ \(\left(3x-2^4\right)\cdot7^3=2\cdot7^4\)
\(\Rightarrow3x-16=\dfrac{2\cdot7^4}{7^3}=14\)
\(\Rightarrow3x=14+16=30\)
\(\Rightarrow x=\dfrac{30}{3}=10\)
e/ Đễ ==> tự lm thì tốt hơn nhé
g/ Đễ ==> tự lm thì tốt hơn nhé
h/ \(15-5\left(x+4\right)=-12-3\)
\(\Rightarrow15-5x-20=-15\)
\(\Rightarrow-5x=-15+20-15=-10\)
\(\Rightarrow x=\dfrac{-10}{-5}=2\)
i/ \(\left(7-x\right)-\left(25+7\right)=-25\)
\(\Rightarrow7-x-25-7=-25\)
\(\Rightarrow-x=-25-7+7+25\)
\(\Rightarrow-x=0\Rightarrow x=0\)
k/ \(\left|x+2\right|=0\Rightarrow x+2=0\Rightarrow x=-2\)
l/ \(\left|x-3\right|=7-\left(-2\right)\)
\(\Rightarrow\left|x-3\right|=9\)
\(\Rightarrow\left[{}\begin{matrix}x-3=9\\x-3=-9\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=12\\x=-6\end{matrix}\right.\)
m/ \(\left|x-5\right|=\left|-7\right|\Rightarrow\left|x-5\right|=7\)
\(\Rightarrow\left[{}\begin{matrix}x-5=7\\x-5=-7\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=12\\x=-2\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Tổng là:
-6+(-5+5)+(-4+4)+(-3+3)+(-2+2)+(-1+1)+0=-6
| x-7 | + x - 7 = 0
=> |x-7|=x-7
+) x-7=x-7
=> x-x=-7+7
=> 0=0
=> x là mọi số
+) x-7=-(x-7)
=> x-7=-x+7
=> x+x=7+7
=> x=7
Vậy x < 7.