a ) x − 28   :   − 12   =   − 5 x − 28 =   − 5 .   − 12 x − 28     =  6 0   x   =  6 0   + 28 x   =  88

b ) x + 15   :   − 28   =  8 x + 15  = 8 . − 28 x + 15  = −  224   x   =   − 224  –  15 x   =   − 239

c ) x + 3 0   :   − 45   =   −  4 x + 3 0   =   − 4 .   − 45 x + 3 0   =  18 0 x   = 18 0   –  3 0 x   = 15 0

a) \(-45:5.\left(-3-2x\right)=3\)

\(-9.\left(-3-2x\right)=3\)

\(-3-2x=\left(3:-9\right)\)

\(-3-2x=\dfrac{-1}{3}\)

\(-2x=-3-\dfrac{1}{3}\)

-2x=\(\dfrac{-10}{3}\)

\(x=\dfrac{-10}{3}:-2\)

\(x=\dfrac{5}{3}\)

b) 

3x - 28 = x + 36

<=> 3x - x = 36 + 28

<=> 2x = 64

<=> x = 32

Vậy x = 32

c) 

(-12)2.x = 56 + 10.13.x

144.x = 56 + 130.x

144x – 130 x = 56

14x = 56

x = 56: 14

x = 4

Vậy x = 4

\(a,-45:5\cdot\left(-3-2x\right)=3\\ \Leftrightarrow-9\cdot\left(-3-2x\right)=3\\ \Leftrightarrow-2x-3=-\dfrac{1}{3}\\ \Leftrightarrow2x+3=\dfrac{1}{3}\\ \Leftrightarrow2x=-\dfrac{8}{3}\\ \Leftrightarrow x=-\dfrac{4}{3}\\ b,3x-28=x+36\\ \Leftrightarrow2x=64\\ \Leftrightarrow x=32\\ c,\left(-12\right)^2x=56+10\cdot13x\\ \Leftrightarrow144x=56+130x\\ \Leftrightarrow14x=56\\ \Leftrightarrow x=4\)

a: x:(-9)=-54

=>\(x=\left(-54\right)\cdot\left(-9\right)\)

=>\(x=54\cdot9=486\)

b: \(x:\left(-12\right)=18\)

=>\(x=18\cdot\left(-12\right)=-216\)

c: \(x:\left(-5\right)=-19\)

=>\(x:5=19\)

=>\(x=19\cdot5=95\)

d: \(\left(x-28\right):\left(-12\right)=-5\)

=>\(x-28=\left(-12\right)\cdot\left(-5\right)=60\)

=>x=60+28=88

e: \(\left(x+15\right):\left(-28\right)=8\)

=>x+15=-28*8=-224

=>x=-224-15=-239

f: (x+30):(-45)=-4

=>\(x+30=\left(-45\right)\cdot\left(-4\right)=180\)

=>x=180-30

=>x=150

a) x : (-9) = -54

x= -54 . (-9)= 486

________

b) x : (-12) = 18

x= 18. (-12)= -216

_________

c) x : (-5) = -19

x= (-19). (-5)= 95

__________

d) (x - 28) : (-12) = -5

(x-28)= (-5). (-12)= 60

x= 60+28= 88

_______

e) (x + 15) : (-28) = 8

(x+15)= 8. (-28)= -224

x= -224 - 15 = - 239

__________

f) (x + 30) : (-45) = -4

(x+30)= -4. (-45)= 180

x= 180 - 30=150

a) \(-28-7|-3x+15|=-70\)

\(\Rightarrow7|-3x+15|=42\)

\(\Rightarrow|-3x+15|=6\)

\(\Rightarrow|3\left(5-x\right)|=6\)

\(\Rightarrow|3|.|5-x|=6\)

\(\Rightarrow3|5-x|=6\)

\(\Rightarrow|5-x|=2\)

\(\Rightarrow\orbr{\begin{cases}5-x=2\\5-x=-2\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=3\\x=7\end{cases}}\)

Vậy \(x\in\left\{3;7\right\}\)

b) \(|18-2|-x+5||=12\)

\(\Rightarrow\orbr{\begin{cases}18-2|-x+5|=12\\18-2|-x+5|=-12\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}2|5-x|=6\\2|5-x|=30\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}|5-x|=3\left(1\right)\\|5-x|=15\left(2\right)\end{cases}}\)

Từ \(\left(1\right):\Rightarrow\orbr{\begin{cases}5-x=3\\5-x=-3\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=2\\x=8\end{cases}}\)

Từ \(\left(2\right):\Rightarrow\orbr{\begin{cases}5-x=15\\5-x=-15\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=-10\\x=20\end{cases}}\)

Vậy \(x\in\left\{2;8;-10;20\right\}\)

c) \(12-2\left(-x+3\right)^2=-38\)

\(\Rightarrow2\left(3-x\right)^2=50\)

\(\Rightarrow\left(3-x\right)^2=100\)

\(\Rightarrow\orbr{\begin{cases}3-x=10\\3-x=-10\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=-7\\x=13\end{cases}}\)

Vậy \(x\in\left\{-7;13\right\}\)

d) \(-20+3\left(2x+1\right)^3=-101\)

\(\Rightarrow3\left(2x+1\right)^3=-81\)

\(\Rightarrow\left(2x+1\right)^3=-27\)

\(\Rightarrow2x+1=-3\)

\(\Rightarrow2x=-4\)

\(\Rightarrow x=-2\)

Vậy \(x=-2\)

Trả lời:

a, -28 - 7| -3x + 15 | = -70

=> 7| -3x + 15 | = 42

=> | -3x + 15 | = 6

=> -3x + 15 = 6 hoặc -3x + 15 = -6

=>   -3x = -9                    -3x = -21

=>  x = 3                            x = 7

Vậy x = 3; x = 7

b, | 18 - 2 | -x + 5 || = 12

=> 18 - 2| -x + 5 | = 12 hoặc 18 -  2| -x + 5 | = -12

=> 2 | -x + 5 | = 6   hoặc    2 | -x + 5 | = 30

=> | -x + 5 | = 3    hoặc      | -x + 5 | = 15

=>  -x + 5 = 3 hoặc -x + 5 = -3 hoặc -x + 5 = 15 hoặc -x + 5 = -15

=>  x = 2                     x = 8                  x = -10               x = 20

Vậy x \(\in\){ 2; 8; -10; 20 }

c, 12 - 2.( -x + 3 )² = -38

=> 2.( -x + 3 )² = 50

=> ( -x + 3 )² = 25

=> -x + 3 = 5 hoặc -x + 3 = -5

=>   x = -2                x = 8

Vậy x = -2; x = 8

d, -20 + 3.( 2x + 1 )³ = -101

=> 3.( 2x + 1)³ = -81

=> ( 2x + 1 )³ = -27

=> 2x + 1 = -3 

=> 2x = -4

=> x = -2

Vậy x = -2

=> x = 1

a.

\(10-2\left(4-3x\right)=-4\)

\(\Leftrightarrow2\left(4-3x\right)=10+4\)

\(\Leftrightarrow2\left(4-3x\right)=14\)

\(\Leftrightarrow4-3x=7\)

\(\Leftrightarrow3x=-3\)

\(\Leftrightarrow x=-1\)

b.

\(-12+3\left(-x+7\right)=-18\)

\(\Leftrightarrow3\left(-x+7\right)=-18+12=-6\)

\(\Leftrightarrow-x+7=-6:3=-2\)

\(\Leftrightarrow x=9\)

c.

\(-45:5.\left(-3-2x\right)=3\)

\(\Leftrightarrow-9.\left(-3-2x\right)=3\)

\(\Leftrightarrow-3-2x=-\dfrac{1}{3}\)

\(\Leftrightarrow2x=-\dfrac{8}{3}\)

\(\Leftrightarrow x=-\dfrac{4}{3}\notin Z\left(loại\right)\)

Câu này em ghi sai đề?

d.

\(3x-28=x+36\)

\(\Leftrightarrow2x=28+36\)

\(\Leftrightarrow2x=64\)

\(\Leftrightarrow x=32\)

e.

\(\left(-12\right)^2.x=56+10.13x\)

\(\Leftrightarrow144x=56+130x\)

\(\Leftrightarrow144x-130x=56\)

\(\Leftrightarrow14x=56\)

\(\Leftrightarrow x=4\)

1) x-7=-5 => x=-5+7 = 2

2) |x|=3 => x =3 hoặc x = -3

3) |x|+5=8 => |x| = 8-5=3

               => x = 3 hoặc x = -3

4) 8-x = 12 => x = 8-12 = -4

5) 6x-39=5628:28

=> 6x-39=201

=> 6x     = 201+39

=> 6x     = 240

=> x       = 40

6) 8²+(200-x) = 123

=> 200-x  = 123 - 64

=> 200-x  = 59

=> x         = 200-59

=> x          = 141

7) x+10 = -14

=> x     = -14 - 10

=> x     = -24

8) 5x-12 = 48

=> 5x     = 48+12

=> 5x     = 60

=> x       = 12

1) x = 2

2) x = 3 hoặc x = -3

3) x = 3 hoặc x = -3

4) x = -4

5) x = 40

6) x = 141

7) x = -24

8) x = 12 

1) x - 7 = - 5

x = - 5 + 7

x = 2

2) lxl = 3 

x = 3 hoặc x = -3

3) lxl + 5 = 8

lxl = 8 - 5

lxl = 3

x = 3 hoặc x = -3

4) 8 - x = 12

x = 8 + (- 12)

x = -4

5) 6x - 39 = 5628 : 28

6x - 39 = 201

6x = 201 + 39 

6x = 240

x = 240 : 6

x = 40

6) 8² + ( 200 - x ) = 123

64 + ( 200 -x ) = 123

200 - x = 123 - 64 

200 -x = 59

x = 200 - 59 

x = 141

7) x + 10 = -14

x  = -14 - 10

x = (-14) +  (-10)

x = -24

8) 5x -12 = 48 

5x = 48 + 12

5x = 60 

x = 60 : 5

x = 12

k cho mk nha mn

hihii heheh hahaa

a)

\(-5+2x=-45\Leftrightarrow2x=-45+5\Leftrightarrow2x=-40\Leftrightarrow x=-20\)

\(-\dfrac{x}{4}=\dfrac{28}{16}\Leftrightarrow-\dfrac{4x}{16}=\dfrac{28}{16}\Leftrightarrow-4x=28\Rightarrow x=-\dfrac{28}{4}=-7\)

-5 + 2x = -45

       2x  = -45 - (-5)

       2x  = -40

        x   = -40 : 2

        x    = -20

Vậy x = -2

Vì \(48;72;60⋮x\)

\(\Rightarrow x\inƯC\left(48;72;60\right)\left(4\le x\le12\right)\)

Ta có :

48 = 2⁴ . 3

72 = 2² . 13

60 = 2² . 3 . 5

\(\RightarrowƯC\left(48;72;60\right)=2^2=4\)

Vậy \(x=4\)

Mình sửa lại chỗ \(4< x< 12\) thành \(4\le x\le12\) nha

Vì 48 chia hết cho x,72 chia hết cho x, 60 chia hết cho x nên :
=> x \(\in\) ƯC( 48;72;60 )
48 = 2⁴. 3
72 = 2³ . 3²
60 = 2² . 3 . 5
ƯCLN ( 48,72,60) = 2² . 3 = 12
ƯC ( 48,72,60 ) = Ư( 12 ) = { 1;2;3;4;6;12 }
=> x \(\in\) { 1; 2; 3; 4; 6; 12 }
Vì 4<x<12 nên :
x \(\in\) { 6 ; 12 }
 

Vì y là số nguyên tố mà x . y = 28 nên:
=> 28\(⋮\)y
=> y \(\in\) { 2; 7 }
Nếu y = 2 thì x = 14
Nếu y = 7 thì x = 4