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1.
2|x-6|+7x-2=|x-6|+7x
2|x-6| - |x-6|=7x-(7x-2)
|x-6| = 2
=>x-6 = +2
*x-6=2 *x-6 = -2
x =2+6 x = (-2)+6
x =8 x = 4
2.
|x-5|-7(x+4)=5-7x
|x-5|-7x-28 =5-7x
|x-5|-28 =5-7x+7x
|x-5|-28 = 5
|x-5| = 5+28
|x-5| = 33
=>x-5 = +33
*x-5=33 *x-5=-33
x =38 x = -28
3.
3|x+4|-2(x-1)=7-2x
3|x+4|-2x+2 =7-2x
3|x+4|-2 =7-2x+2x
3|x+4|-2 =7
3|x+4| =7+2
3|x+4| = 9
|x+4| =9:3
|x+4| = 3
=>x+4 = +3
*x+4=3 *x+4=-3
x =-1 x = -7
![](https://rs.olm.vn/images/avt/0.png?1311)
a ) Ta có : - 12 . ( x - 5 ) + 7( 3 - x ) = 5
Suy ra - 12x - ( - 12 ) . 5 + 7 . 3 - 7x = 5
Suy ra - 12x + 60 + 21 - 7x = 5
Suy ra - 12x - 7x = 5 - 60 - 21
Suy ra - 19x = - 76
Suy ra x = -76 : ( - 19 )
Vậy x = 4
b ) Ta có : 30 . ( x + 2 ) - 6 . ( x - 5 ) - 24x = 100
Suy ra 30x + 30 . 2 - 6x - ( - 6 ) . 5 - 24x = 100
Suy ra 30x + 60 - 6x + 30 - 24x = 100
Suy ra 30x - 6x - 24x = 100 - 60 - 30
Suy ra 0x = 10
Vậy x = 0
![](https://rs.olm.vn/images/avt/0.png?1311)
b)
\(\left(x-3\right)\left(2y+1\right)=7=1.7=\left(-1\right).\left(-7\right)\)
TH1:
\(\hept{\begin{cases}x-3=1\\2y+1=7\end{cases}\Rightarrow\hept{\begin{cases}x=4\\y=3\end{cases}}}\)
TH2:
\(\hept{\begin{cases}x-3=7\\2y+1=1\end{cases}\Rightarrow\hept{\begin{cases}x=10\\y=0\end{cases}}}\)
TH3:
\(\hept{\begin{cases}x-3=-1\\2y+1=-7\end{cases}\Rightarrow\hept{\begin{cases}x=2\\y=-4\end{cases}}}\)
TH4:
\(\hept{\begin{cases}x-3=-7\\2y+1=-1\end{cases}\Rightarrow\hept{\begin{cases}x=-4\\y=-1\end{cases}}}\)
Vậy....
a, 30(x+2) - 6(x-5) - 24x=100
30x + 60 - 6x + 30 - 24x = 100
24x + 90 - 24x = 100
0x = 10 => Không có giá trị x nào thỏa mãn
![](https://rs.olm.vn/images/avt/0.png?1311)
( x - 140) : 7 = 3^ 3 - 2^3. 3
( x - 140) : 7 = 27 - 24
( x - 140) : 7 = 3
( x - 140) = 3.7
( x - 140) = 21
x = 21 + 140
x = 161
(x-140):7=27-24
(x-140):7=3
x-140=21
x=161
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(11-\left(15-21\right)=x-\left(25-9\right)\)
\(\Leftrightarrow11-15+21+25-9=x\)
\(\Leftrightarrow x=33\)
b) \(2-x=17-\left(-5\right)\)
\(\Leftrightarrow2-x=22\)
\(\Leftrightarrow x=-20\)
c) \(x-12=\left(-9\right)-15\)
\(\Leftrightarrow x-12=-24\)
\(\Leftrightarrow x=-12\)
d) \(9-25=\left(7-x\right)-\left(25+7\right)\)
\(\Leftrightarrow-16=7-x-25-7\)
\(\Leftrightarrow x=-9\)
a) 11-(15+21)=x-(25-9)
11-36=x-25+9
-25=x-(25+9)
-25=x-34
x=-25+34
x=9
Vậy x=9
b) 2-x=17-(-5)
2-x=22
x=2-22
x=-20
Vậy x=-20
c) x-12=(-9)-15
x-12=-24
x=-24+12
x=-12
Vậy x=-12
d) 9-25=(7-x)-(25+7)
16=7-x-32
48=7-x
x=-41
Vậy x=-41
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{-2}{3}\) \(-\) \(\frac{1}{3}\) X \(\left(2.x-5\right)\) \(=\frac{3}{2}\)
\(-1\) X \(\left(2.x-5\right)\) \(=\frac{3}{2}\)
\(\left(2.x-5\right)\) \(=\frac{3}{2}\) \(:-1\)
\(\left(2.x-5\right)\) \(=\frac{3}{2}\)
\(2.x\) \(=\frac{3}{2}\) \(+\) \(5\)
\(2.x\) \(=\frac{7}{2}\)
\(x=\) \(\frac{7}{2}\) \(:2\)
\(x=\frac{7}{4}\)
* Mới lớp 5 nên không chắc, sai thongcam *
#Ninh Nguyễn
\(\frac{-2}{3}-\frac{1}{3}\cdot\left(2x-5\right)=\frac{3}{2}\)
\(\frac{1}{3}\left(2x-5\right)=\frac{-2}{3}-\frac{3}{2}\)
\(2x-5=\frac{-13}{6}:\frac{1}{3}\)
\(2x=\frac{-13}{2}+5\)
\(x=\frac{-3}{2}:2\)
\(x=\frac{-3}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(10\left(x-7\right)-8\left(x+5\right)=6.\left(-5\right)+24\)
\(\Leftrightarrow\)\(10x-70-8x-40=-6\)
\(\Leftrightarrow\)\(2x-110=-6\)
\(\Leftrightarrow\)\(2x=104\)
\(\Leftrightarrow\)\(x=52\)
Vậy...
10.(x-7)-8(x+5)=6.(-5)+24
=> 10.x - 10.7 - 8.x + 8.5 = -30 + 24
=> 10.x - 70 - 8.x + 40 = -6
=> (10.x - 8.x) - (70-40) = 6
=> 2.x - 30 = 6
=> 2.x = 6 + 30
=> 2.x = 36
=> x = 36 : 2
=> x = 18
![](https://rs.olm.vn/images/avt/0.png?1311)
( x+1 )(y-2)=0
x+1=0 hoặc y-2=0
x=(-1) hoặc y=2
(x-5)(y-7)=1
x-5=1 và y-7=1
x=6 và y=8
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