1,a,\(\left|x+2\right|=x+3\Leftrightarrow\orbr{\begin{cases}x+2=x+3\\x+2=-x-3\end{cases}}\)

                                      \(\Leftrightarrow\orbr{\begin{cases}x-x=3-2\\x+x=-3-2\end{cases}\Leftrightarrow\orbr{\begin{cases}0=1\left(voly\right)\\x=\frac{-5}{2}\end{cases}}}\)

b, \(|x-2|=2-x\Leftrightarrow\orbr{\begin{cases}x-2=2-x\\x-2=x-2\end{cases}}\)

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

c,\(\left|2x-1\right|=3\Leftrightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\)

                             \(\Leftrightarrow\orbr{\begin{cases}2x=4\\2x=-2\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}}\)

d,\(\left|x-12\right|=x\Leftrightarrow\orbr{\begin{cases}x-12=x\\x-12=-x\end{cases}\Leftrightarrow\orbr{\begin{cases}0=12\left(voly\right)\\x=6\end{cases}}}\)

1: x=3/4-1/2=3/4-2/4=1/4

2: x-1/5=2/11

=>x=2/11+1/5=21/55

3: x-5/6=16/42-8/56

=>x-5/6=8/21-4/28=5/21

=>x=5/21+5/6=15/14

4: x/5=5/6-19/30

=>x/5=25/30-19/30=6/30=1/5

=>x=1

5: =>|x|=1/3+1/4=7/12

=>x=7/12 hoặc x=-7/12

6: x=-1/2+3/4

=>x=3/4-1/2=1/4

11: x-(-6/12)=9/48

=>x+1/2=3/16

=>x=3/16-1/2=-5/16

1)x= 1/4

2)x= 2/11+ 1/5

   x= 21/55

3)x - 5/6 = 5/21

   x         = 5/21+5/6

   x         = 15/14

4)x/5 = 5/6 + -19/30

   x:5 = 1/5

   x    = 1/5.5

   x    = 1

5) |x| - 1/4 = 6/18

    |x|           = 6/18 - 1/4

    |x|            =7/12

⇒x= 7/12 hoặc -7/12

6)x = -1/2 +3/4

   x= 1/4

7) x/15 = 3/5 + -2/3

   x:15  = -1/15

  x        = -1/15. 15

  x        = -1

8)11/8 + 13/6 = 85/x  

       85/24      = 85/x

  ⇒      x           = 24

9) x - 7/8 = 13/12

   x          = 13/12 + 7/8

   x          = 47/24

10)x - -6/15 = 4/27  

     x            = 4/27 + (-6/15)

    x             = -34/135

11) -(-6/12)+x = 9/48

                    x= 9/48 - 6/12

                    x = -5/16

12) x - 4/6 = 5/25 + -7/15

      x -4/6  =  -4/15

     x           = -4/15 + 4/6

    x             = 2/5

https://olm.vn/hoi-dap/detail/23609978644.html

\(|x-7|+13=25\)

\(|x-7|=12\)

\(\Rightarrow\orbr{\begin{cases}x-7=12\\x-7=-12\end{cases}\Leftrightarrow\orbr{\begin{cases}x=19\\x=-5\end{cases}}}\)

\(|x-3|-16=-4\\ \Rightarrow|x-3|=14\)

\(\Rightarrow\orbr{\begin{cases}x-3=14\\x-3=-14\end{cases}\Leftrightarrow\orbr{\begin{cases}x=17\\x=-11\end{cases}}}\)

\(26-Ix+9I=-13\)

\(\Rightarrow|x+9|=39\)

\(\Rightarrow\orbr{\begin{cases}x+9=39\\x+9=-39\end{cases}\Leftrightarrow\orbr{\begin{cases}x=30\\x=-48\end{cases}}}\)

\(|x-5|=3\)

\(\Rightarrow\orbr{\begin{cases}x-5=3\\x-5=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=8\\x=2\end{cases}}}\)

\(|1-x|=7\)

\(\Rightarrow\orbr{\begin{cases}1-x=7\\1-x=-7\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-6\\x=8\end{cases}}}\)

\(|2x+5|=1\)

\(\Rightarrow\orbr{\begin{cases}2x+5=1\\2x+5=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=-3\end{cases}}}\)

\(\text{11 _ 12 +13 _ 14 + 15 - 16 + 17 _ 18 + 19 _20}\)

\(=\left(11-12\right)+\left(13-14\right)+\left(15-16\right)+\left(17-18\right)+\left(19-20\right)\)

\(=-1+\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)\)

\(=-5\)

\(\text{101 _ 102 _ ( - 103 ) _ 104 _ ( - 105 ) _ 106 _ ( -107 ) _ 108 _ ( - 109 ) _ 110}\)

\(=\left(101-102\right)+\left(-\left(-103\right)-104\right)+\left(-\left(-105\right)-106\right)\)\(+\left(-\left(-107\right)-108\right)+\left(-\left(-109\right)-110\right)\)

\(=-1+\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)\)

\(=-5\)

\(\text{1 + ( - 3 ) +5 + ( -7 ) + ... + ( - 1999 ) + 2001}\)

\(=\left(1+\left(-3\right)\right)+\left(5+\left(-7\right)\right)+...+\left(\left(-1999\right)+2001\right)\)

\(=-2+\left(-2\right)+...+\left(-2\right)\)Có 500 thừa số (-2)

\(=\left(-2\right).500\)

\(=-1000\)

\(\text{1 + ( -2 ) + 3 + ( -4) + ... + 2001 + ( - 2002)}\)

\(=\left(1+\left(-2\right)\right)+\left(3+\left(-4\right)\right)+...+\left(2001+\left(-2002\right)\right)\)

\(=-1+\left(-1\right)+...+\left(-1\right)\)Có 1000 thừa số (-1)

\(=\left(-1\right).1000\)

\(=-1000\)

chúc bạn học tốt

c: =117-89-223-71+105+111+223

=6-160

=-154

2: \(=\dfrac{-2}{75}+\dfrac{5}{39}=\dfrac{33}{325}\)

3: \(=\dfrac{6}{11}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{6}{11}\)

4: \(=\dfrac{7}{19}\left(\dfrac{5}{13}+\dfrac{8}{13}-1\right)=-2\cdot\dfrac{7}{19}=-\dfrac{14}{19}\)

5: \(=\dfrac{2}{7}\left(\dfrac{4}{23}-\dfrac{27}{23}+1\right)=0\)

6: \(=\dfrac{3}{8}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{11}{8}=\dfrac{3}{8}+\dfrac{11}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)

1. TÍNH 

`5/7 xx 4 : 5/9 = 5/7 xx 4 xx 9/5 = 20/7 xx 9/5 = 36/7`

`4/9 : 2 xx 5/7 = 4/9 xx 1/2 xx 5/7 = 2/9 xx 10/63 `

`8 xx 2/3 : 1/2= 8xx 2/3 xx 2/1 = 8 xx 2/3 xx 2 = 16/3 xx 2=32/3`

Bài 1:tính 

a)65.(-19)+19.(-35)

=65.(-19)+(-19).35

=(-19).(65+35)

=(-19).100

=-1900

b)85.(35-27)-35.(85-27)

=85.35-85.27-35.85+35.27

=(85.35-35.85)+(-85.27+35.27)

=27.(-85+35)

=27.(-50)

=1350

c)47.(45-15)-47.(45+15)

=47.[(45-15)-(45+15)]

=47.[30-60]

=47.(-30)

=-1410

Bài2: Tìm các số nguyên x biết

a)(-2).(x+6)+6.(x-10)=8

-2x-12+6x-60=8

4x-72=8

4x=72+8

4x=50

 x=\(\frac{25}{2}\)

b)(-4).(2x+9)-(-8x+3)-(x+13)=0

-6x-36+8x-3-x-13=0

x-41=0

     x=41

Bài 1: Tính

a) \(65.\left(-19\right)+19.\left(-35\right)\)

= \(-1235+-665\)

= \(-1900\)

b) \(85.\left(35-27\right)-35.\left(85-27\right)\)

= \(-1350\)

c) \(47.\left(45-15\right)-47.\left(45+15\right)\)

=\(-1410\)

Bài 2: Tìm x:

\(\left(-2\right).\left(x+6\right)+6.\left(x-10\right)=8\)

\(x=20\)

Cảm ơn các bạn nha

1) (x-17)*17=0

    x-17=0

    x=17

2) 32(x-11)=32

    x-11=1

    x=12

3) (x-25)-75=0

    x-25=75

    x=3

4) 575-(6*x+70)=445

    6*x+70=130

    6*x=60

    x=10

5) 315+(125-x)=435

   125-x=120

    x=5

6) x-105:21=15

    x-5=15

    x=20

7) (x-105):21=15

    x-105=315

    x=420

8) (x-38):19=12

    x-38=228

    x=266

9) (x-15)*(x-19)=0

=>x-15=0 hoặc x-19=0

    x=15 hoặc x=19

10) 96-3(x+1)=42

     3(x+1)=54

     x+1=18

     x=17

a) ( x - 17 ) . 17 = 0

=> x - 17           = 0 : 17

=> x - 17           = 0

=> x                  = 0 + 17

=> x                   = 17

b) 32 . ( x - 11 ) = 32

=>         x - 11   = 32 : 32

=>          x - 11  = 1

=>            x       = 1 + 11

=>            x        = 12

c) ( x - 25 ) - 75 = 0

=>  x - 25          = 0 + 75

=>  x - 25           = 75

=>  x                  = 75 + 25

=>  x                   = 100

d) 575 - ( 6 . x + 70 ) = 445

=>           6 . x + 70 = 575 - 445

=>           6 . x  + 70 = 130

=>           6 . x           = 130 - 70

=>            6 . x           = 60

=>                  x           = 60 : 6

=>                    x           = 10

e) 315 + ( 125 - x ) = 435

=>            125 - x   = 435 - 315

=>             125 -  x  = 120

=>                       x  = 125 - 120

=>                        x = 5

f) x - 105 : 21 = 15

=> x - 5          = 15

=>  x              = 15 + 5

=>  x              = 20

g) ( x - 105 ) : 21 = 15

=>  x -105           = 15 . 21

=>  x - 105           = 315

=> x                     = 315 + 105

=> x                     = 420

h) ( x - 38 ) : 19 = 12

=> x - 38           = 12 . 19

=> x - 38           = 228

=> x                  = 228 + 38

=> x                   = 266

i) ( x - 15 ) . ( x - 19 ) = 0

=> x - 15 = 0 => x = 0 + 15 => x = 15

     x - 19 = 0 => x = 0 + 19 = x = 19

=> x = 15 ; 19

j) 96 - 3( x + 1 ) = 42

=>      3( x + 1 ) = 96 - 42

=>       3( x + 1 ) = 54

=>           x + 1    = 54 : 3

=>           x + 1     = 18

=>            x          = 18 - 1

=>            x           = 17