a) \(43+\left(9-21\right)=317-\left(x+317\right)\\ 43+9-21=317-x-317\\ 52-21=\left(317-317\right)-x\\ 31=-x\\ x=-31\)Vậy x = -31

b) \(\left(15-x\right)+\left(x-12\right)=7-\left(-5+x\right)\\ 15-x+x-12=7+5-x\\ \left(x-x\right)+\left(15-12\right)=12-x\\ 3=12-x\\ x=9\)Vậy x = 9

c) \(x-\left\{57-\left[42+\left(-23-x\right)\right]\right\}=13-\left\{47+\left[25-\left(32-x\right)\right]\right\}\\ x-\left\{57-\left[42+\left(-23\right)-x\right]\right\}=13-\left\{47+\left[25-32+x\right]\right\}\\ x-\left\{57-42+23+x\right\}=13-\left\{47+25-32+x\right\}\\ x-57+42-23-x=13-47-25+32-x\\ -57+42-23=-34-25+32-x\\ -15-23=-59+32-x\\ -38=-27-x\\ x=11\)Vậy x = 11

d) \(-7+\left|x-4\right|=-3\\ \left|x-4\right|=4\\ \Rightarrow\left[{}\begin{matrix}x-4=4\\x-4=-4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=8\\x=0\end{matrix}\right.\)Vậy \(x\in\left\{8;0\right\}\)

e) \(13-\left|x+5\right|=13\\ \left|x+5\right|=0\\ \Rightarrow x+5=0\\ \Rightarrow x=-5\)Vậy x = -5

g) \(\left|x-10\right|-\left(-12\right)=4\\ \left|x-10\right|=-8\\ \Rightarrow x\in\varnothing\left(\text{vì }\left|x-10\right|\ge0\text{với mọi }x\right)\)Vậy \(x\in\varnothing\)

h) \(\left|x+2\right|< 5\\ 0\le\left|x+2\right|< 5\\ \Rightarrow\left|x+2\right|\in\left\{1;2;3;4\right\}\\ \Rightarrow x+2\in\left\{1;-1;2;-2;3;-3;4;-4\right\}\\ \Rightarrow x\in\left\{-1;-3;0;-4;1;-5;2;-6\right\}\)Vậy \(x\in\left\{-1;-3;0;-4;1;-5;2;-6\right\}\)

a) Vậy x = -31

b) Vậy x = 9

c) Vậy x = 11

d) Vậy

e) Vậy x = -5

g) Vậy

h) Vậy

a 43+(9-21)=317-(x-317)

43+(-10)=317-x-317

31=(317-317)-x

31=-x

x=-31

h minh nha

a,x+(-45)=(-62)+17

<=>x=(-62)+17+45

<=>x=0

b,x+29=\(|-43|\)-+(-43)

<=>x=43-43-29

<=>x=-29

c,43+(9-21)=317-(x+317)

<=>31=317-x-317

<=>31=-x

<=>-31=x

d, (15-x)+(x-12)=7-(-5-x)

<=>15-x+x-12=7+5+x

<=>3=12+x

<=>-9=x

e, x-{57-[42+(-23-x)]}=13-{47+[25-(32-x)]}

<=>x-57+42-23-x=13-47-25+32-x

<=>76=-27-x

<=>103=-x

<=>-103=x

f,\(|x|+|-4|=7\)

<=>\(|x|\)+4=7

<=>\(|x|\)=3

<=>x=3 hoặc x=-3

a.  x + (-45) = (-62 ) + 17

b.  x + 29 = /-43/ + (-43)

c.  43 + (9 - 21) = 317 - ( x +317)

d.  (15 - x ) + ( x - 12 ) = 7 - ( -5 + x )

e.  x - { 57 - [ 42 + ( -23 - x ) ] } = 13 - { 47 + [ 25 - ( 32 - x ) ] }

a)      43+(9-21)=317-(x+317)

     ->43+(-12)=317-(x+317)

    ->    31      =317-(x+317) 

     ->  317-(x+317)=31

     ->          x+317 =317-31=286

      ->        x          = 286 - 317

      ->        x          =  -31

Ung ho minh nha

a)có người làm rồi

b)(15-x)+(x-12)=7-(-5+x)

=>15-x+x-12=7-(-5)-x

=>(-x+x)+15-12=12-x

=>3=12-x

=>-9=-x

=>x=9

c)đề sai x0 là sao

d)|x|+|y|=1

\(\Rightarrow\hept{\begin{cases}x=\pm1\\y=0\end{cases}}\).Vì x đạt GTTĐ

\(\Rightarrow\hept{\begin{cases}x=0\\y=\pm1\end{cases}}\).Vì y đạt GTTĐ

e)(x+1) +(x+3)+(x+5)+...+(x+99)=0

=>(x+x+...+x)+(1+3+...+99)=0

=>50x+2500=0

=>50x=-2500

=>x=-50

1.a)43+(9-21)=317-(x+317)

<=>31=317-317-x

<=>x=-31

b)(15-x)+(x-12)=7-(-5+x)

<=>15-12-x+x=7+5-x

<=>x=12-3=9

c)-{57-[42+(-23-x)]}=13-{47+[25-(32-x)]}

<=>-{57-[42-23-x]}=13-{47+[25-31+x]}

<=>-{57-19+x}=13-{47-6+x}

<=>-38-x=-28-x

<=>0x=10

<=>x\(\in\varnothing\)

dau /../ là sao bạn

2.a)\(-7+\left|x-4\right|=-3\\ \Leftrightarrow\left|x-4\right|=4\\ \Leftrightarrow\left\{{}\begin{matrix}x-4=4\left(x\ge4\right)\\-x+4=4\left(x< 4\right)\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=8\\x=0\end{matrix}\right.\)

b)\(-\left|x+5\right|=0\Leftrightarrow x=-5\)

bài 2:

a. Ta có : (a-b)-(b+c)+(c-a)-(a-b-c)

= a-b-b-c+c-a-a+b+c

=-a-b+c=-(a+b-c)

a: \(\left(15-x\right)+\left(x-12\right)=7-\left(x-5\right)\)

=>7-x+5=15-x+x-12

=>12-x=3

hay x=9

b: \(\Leftrightarrow x-\left\{57-\left[42-23-x\right]\right\}=13-\left\{47+25-32+x\right\}\)

\(\Leftrightarrow x-\left\{57-19+x\right\}=13-\left\{40+x\right\}\)

=>x-38-x=13-40-x

=>-27-x=-38

=>x+27=38

hay x=11

e: \(x^2+3x+9⋮x+3\)

\(\Leftrightarrow x\left(x+3\right)+9⋮x+3\)

\(\Leftrightarrow x+3\in\left\{1;-1;9;-9;3;-3\right\}\)

hay \(x\in\left\{-2;-4;6;-12;0;-6\right\}\)

\(43+\left(9-21\right)=317\left(x+317\right)\)

\(\Rightarrow317-\left(x+317\right)=43+\left(9-21\right)\)

\(\Rightarrow317-\left(x+317\right)=43+\left(-12\right)\)

\(\Rightarrow317-\left(x+317\right)=31\)

\(\Rightarrow x+317=317-31\)

\(\Rightarrow x+317=286\)

\(\Rightarrow x=286-317\)

\(\Rightarrow x=-31\)

Vay x = -31

\(b.\left(15-x\right)+\left(x-12\right)=7-\left(-5+x\right)\)

\(\Rightarrow15-x+x-12=7+5+x\)

\(\Rightarrow15-12=12-x\)

\(\Rightarrow3=12-x\)

\(\Rightarrow12-x=3\)

\(\Rightarrow x=12-3\)

\(\Rightarrow x=9\)

Vay x = 9 

....

a) 43+(9-21) = 317-(x+317)

43+(-12) = 317-(x+317)

317-(x+317) = 31

x+317 = 317-31=286

x = 286-317=(-31)

Tạm thời câu b mình chưa nghĩ ra nha.

a) \(43+\left(9-21\right)=317-\left(x+317\right)\)

\(43+\left(-12\right)=317-\left(x+317\right)\)

   \(317-\left(x+317\right)=31\)

\(x+317=317-31=286\)

\(x=286-317=-31\)

b) \(\left(15-x\right)+\left(x-12\right)=7-\left(-5+x\right)\)

\(15-x+x-12=7+5-x\)

\(7+5-x=\left(15-12\right)+\left(-x+x\right)\)

\(7+5-x=3+0=3\)

\(5-x=3-7=-4\)

\(x=5-\left(-4\right)=5+4=9\)