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\(a,-4\left(2x+9\right)=\left(-8x+3\right)\)
\(\Rightarrow-8x-36=-8x+3\)
\(\Rightarrow-8x+8x=3+36\)
\(\Rightarrow0x=39\left(vô-lí\right)\)
\(b,1+x-2\left(5+3x\right)=4-5x\)
\(\Rightarrow1+x-10-6x=4-5x\)
\(\Rightarrow x-6x+5x=4+10-1\)
\(\Rightarrow0x=13\left(vô-lí\right)\)
\(c,3\left(2-x\right)+1=-3x+7\)
\(\Rightarrow6-3x+1=-3x+7\)
\(\Rightarrow-3x+3x=7-1-6\)
\(\Rightarrow0x=0\Rightarrow x=0\)
d)truong hop 1: voi x>0 <=> x-7=7-x<=>x+x=7+7<=>2x=14<=>x=7
truong hop 2: voi x<0 <=.> 7-x=7-x k co gtri
cac phan sau tuong tu nhe!
\(\text{Th1: }\hept{\begin{cases}x-1< 0\\x-2\ge0\end{cases}\Rightarrow\hept{\begin{cases}x< 1\\x\ge2\end{cases}\Rightarrow}x\in\varnothing}\)
\(\text{Th2: }\hept{\begin{cases}x-1>0\\x-2\le0\end{cases}\Rightarrow\hept{\begin{cases}x>1\\x\le2\end{cases}\Rightarrow1< x\le}2}\)
\(\text{Khi đó: }\left|x-1\right|+\left|x-2\right|=4\)
\(\Leftrightarrow x-1+2-x=4\)
\(\Leftrightarrow x-x=4-2+1\)
\(\Leftrightarrow0x=3\left(\text{vô lí}\right)\)
Vậy \(x\in\varnothing\)
\(\text{TH3: }\hept{\begin{cases}x-1\ge0\\x-2\ge0\end{cases}\Rightarrow\hept{\begin{cases}x\ge1\\x\ge2\end{cases}\Rightarrow}x\ge1}\)
\(\text{Khi đó: }\left|x-1\right|+\left|x-2\right|=4\)
\(\Leftrightarrow x-1+x-2=4\)
\(\Leftrightarrow2x=7\)
\(\Leftrightarrow x=\frac{7}{2}\left(\text{nhận}\right)\)
\(\text{TH4: }\hept{\begin{cases}x-1\le0\\x-2\le0\end{cases}\Rightarrow\hept{\begin{cases}x\le1\\x\le2\end{cases}\Rightarrow}x\le2}\)
\(\text{Khi đó: }\left|x-1\right|+\left|x-2\right|=4\)
\(\Leftrightarrow1-x+2-x=4\)
\(\Leftrightarrow-2x=1\)
\(\Leftrightarrow x=-\frac{1}{2}\left(\text{nhận}\right)\)
Vậy \(x\in\left\{\frac{-1}{2};\frac{7}{2}\right\}\)
a)5-2x=3x+20
5=3x+20+2x
5=5x+20
=>5x+20=5
5x=5-20
5x=-15
x=(-15):5
x=-3
a)(3x+2):8=4
3x+2=4.8
3x+2=32
3x=32-2
3x=30
x=30:3
x=10
b)x+2x+3x+4x=100
x(1+2+3+4)=100
x.10=100
x=100:10
x=10
b) x + 2x + 3x + 4x = 100
x( 1 + 2 + 3 + 4 ) = 100
x . 10 = 100
x = 100 : 10
x = 10