Bài 1 Tìm x biết:

a)65-(29-x)=32

65 -29+x=31

x=31-65+29

x=-5

b)(x+5)-(x+23)=x-34

x+5 -x +23 = x-34

(x-x)+ (23+5)=x-34

0+28=x-34

28=x-34

28+34=x

62=x

=>x=62

c)(16-x)+(x-38)=x+44

16-x+x-38=x+44

-x+x-x=44-16+38

-x=36

=>x=-36

d)-12+3(-x+7)=-18

3(-x+7)=-18+12

3(-x+7)=-6

-x+7=-6:3

-x+7=-2

-x=-2-7

-x=-9

=>x=9

Baif 2

d)|7-x|=10

=> \(\left[{}\begin{matrix}7-x=10\\7-x=-10\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=7-10\\x=-10-7\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=-3\\x=-17\end{matrix}\right.\)

e)(x-6).(7-2x)=0

\(\Rightarrow\)\(\left[{}\begin{matrix}x-6=0\\7-2x=0\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=0+6\\2x=7\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=6\\x=7:2\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=6\\x=3,5\end{matrix}\right.\)

f)(9-x).(2x+8)=0

\(\Rightarrow\)\(\left[{}\begin{matrix}9-x=0\\2x+8=0\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=0+9\\2x=-8\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=9\\x=-4\end{matrix}\right.\)

g)x(-x+8).(-3x-18)=0

\(\Rightarrow\) \(\left[{}\begin{matrix}x=0\\-x+8=0\\-3x-18=0\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\-x=0+8\\-3x=0+18\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\-x=8\\-3x=18\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\x=-8\\x=18:\left(-3\right)\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\x=-8\\x=-6\end{matrix}\right.\)

h)(-x+8).(x-54).(-24-x)=0

\(\Rightarrow\)\(\left[{}\begin{matrix}-x+8=0\\x-54=0\\-24-x=0\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}-x=8\\x=0+54\\-x=0+24\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=8\\x=54\\-x=24\end{matrix}\right.\)

\(\Rightarrow\)\(\left[{}\begin{matrix}x=8\\x=54\\x=-24\end{matrix}\right.\)

c] 7 * x + 8 * x + 9 * x + .... + 100 * x = 1025

(7+8+9+...+100)*x=1025

Coi A= 7+8+...+100

Số các số hạng của A là:

(100-7):1+1=94 (số)

=>A=(100+7)*94:2=5029

Ta lại có:

5029*x=1025

=>x=1025:5019=1025/5019

a, \(x.\left(\frac{3}{2}+\frac{1}{4}-\frac{1}{2}\right)=x.\left(\frac{6}{4}+\frac{1}{4}-\frac{2}{4}\right)=\frac{10}{9}\)

   \(x.\frac{5}{4}=\frac{10}{9}\)

   \(x=\frac{10}{9}:\frac{5}{4}=\frac{10}{9}.\frac{4}{5}=\frac{8}{9}\)

a) \(2\cdot x+10=-18\)

\(\Rightarrow2\cdot x=-18-10=-28\)

\(\Rightarrow x=-28:2=-14\)

b) \(5\cdot x+48=13\)

\(5\cdot x=13-48=-35\)

\(x=-35:5=-7\)

c) \(32-2x=38\)

\(\Rightarrow2x=32-38=-6\)

\(\Rightarrow x=-6:2=-3\)

d) \(\left|x\right|=\left|-10\right|\)

\(\Rightarrow\left|x\right|=10\)

=> x = 10 hoặc x = -10

e) \(\left|x-2\right|=-1\)

\(\Rightarrow x\in\) tập hợp rỗng

a,x = -14

b,x=-7

c,x=-3

d,x=-10,10

ế,ko có vì |x -2| > hoặc =0

\(x+\left(-32\right)=-84-\left(-46\right)\)

\(x-32=-84+46\)

\(x-32=-38\)

\(x=-38+32\)

\(x=-6\)

\(453+x=-443-\left(-199\right)\)

\(453+x=-443+199\)

\(453+x=-244\)

\(x=-244-453\)

\(x=-697\)

\(\left|-x+7\right|=24\)

\(\Rightarrow\hept{\begin{cases}-x+7=24\\-x+7=-24\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}x=7-24\\x=7+24\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}x=-17\\x=31\end{cases}}\)

\(g,2x+12=3.\left(x-7\right)\)

\(2x+12=3x-21\)

\(12+21=3x-2x\)

\(x=33\)

a) 7 x 6 + 18 = 42 + 18

                   = 60

b) 7 x 3 + 29 = 21 + 29

                   = 50

c) 7 x 10 + 40 = 70 + 40

                   = 110

d) 7 x 8 + 38 = 56 + 38

                   = 94

 c] 7 * x + 8 * x + 9 * x + .....+ 100 * x = 1025

=>  x (7 + 8 + 9 +...+ 100) = 1025

=> x * 5029 = 1025

=> x = 1025/5029

2, 

a) \(315-\left(135-x\right)=215\)

\(\Rightarrow135-x=315-215\)

\(\Rightarrow135-x=100\)

\(\Rightarrow x=135-100\)

\(\Rightarrow x=35\)

b) \(x-320:32=25\cdot16\)

\(\Rightarrow x-10=5^2\cdot4^2\)

\(\Rightarrow x-10=20^2\)

\(\Rightarrow x-10=400\)

\(\Rightarrow x=410\)

c) \(3\cdot x-2018:2=23\)

\(=3\cdot x-1009=23\)

\(\Rightarrow3\cdot x=1032\)

\(\Rightarrow x=1032:3\)

\(\Rightarrow x=344\)

d) \(280-9\cdot x-x=80\)

\(\Rightarrow280-x\cdot\left(9+1\right)=80\)

\(\Rightarrow280-10\cdot x=80\)

\(\Rightarrow10\cdot x=280-80\)

\(\Rightarrow10\cdot x=200\)

\(\Rightarrow x=20\)

e) \(38\cdot x-12\cdot x-x\cdot16=40\)

\(\Rightarrow x\cdot\left(38-12-16\right)=40\)

\(\Rightarrow x\cdot10=40\)

\(\Rightarrow x=40:10\)

\(\Rightarrow x=4\)

bài 1 cậu ko giải giúp mình dc à

`a,`

\((- 5) .x + 17 = - 23\)

`\Rightarrow (-5)x = -23 - 17`

`\Rightarrow (-5)x =-40`

`\Rightarrow x = (-40) \div (-5)`

`\Rightarrow x = 8`

Vậy,` x = 8`

`b,`

\(8 + 4x = - 24\)

`\Rightarrow 4x = -24 - 8`

`\Rightarrow 4x = -32`

`\Rightarrow x = -32 \div 4`

`\Rightarrow x = -8`

Vậy, `x = -8`

`c,`

\(32 – 12 + x = -10\)

`\Rightarrow 20 + x = -10`

`\Rightarrow x = -10 - 20`

`\Rightarrow x = -30`

Vậy, `x = -30`

`d,`

\(x – 87 + 13 = - 100\)

`\Rightarrow x - 87 = -100 - 13`

`\Rightarrow x - 87 = -113`

`\Rightarrow x = -113 + 87`

`\Rightarrow x = -26`

Vậy, `x = -26.`