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\(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+.......+\dfrac{1}{x\cdot\left(x+1\right)}=\dfrac{122}{123}\)
\(\Leftrightarrow1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......+\dfrac{1}{x}-\dfrac{1}{x+1}=\dfrac{122}{123}\)
\(\Leftrightarrow1-\dfrac{1}{x+1}=\dfrac{122}{123}\)
\(\Leftrightarrow\dfrac{1}{x+1}=\dfrac{1}{123}\)
\(\Leftrightarrow x=122\)
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a, (17x-25):8=81-65
(17x-25):8=16
17x-25=16:8
17x-25=2
17x=2+25
17x=27
x=27:17
x=27/17
b,720:[41-(2x-5)]=40
41-(2x-5)=720:40
41-(2x-5)=18
2x-5=41-18
2x-5=23
2x=23+5
2x=28
x=28:2
x=14
c,231-(x-6)=103
x-6=231-103
x-6=128
x=128+6
x=134
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đề bài: (17x-25):8+65= 81
(17x-25):8=81-65=16
17x-25= 16 . 8= 128
17x = 128+25=153
x = 153:17=9
b, Đề bài 720:[41-(2x-5)]=8.5
720:[41-(2x-5)]=40
41-(2x-5)=720:40=18
2x-5=41-18=23
2x = 23+5=28
x = 28:2= 14
c, 231-(x-6)=1339:13=103
x-6=231-103=128
x= 128 + 6= 134
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2(x-1)=6(10-x)
<=>2x-2=60-6x
<=>2x+6x=60+2
<=>8x=62
<=>x=62:8
<=>x=7,75
=> 2x - 2 = 60 - 6x
=> 2x + 6x = 2 + 60
=> 8x = 62
=> x = 7,75
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x+x.2,7+x.6,3=120
x.1+x.2,7+x.6,3=120
x.(1+2,7+6,3)=120
x. 10 =120
x=120:10
x=12
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a. 23 . ( 42 - x ) = 46
42 - x = 46 : 23
42 - x = 2
x = 42 - 2
x = 40
b. 7x - 8 = 41
7x = 41 + 8
7x = 49
x = 49 : 7
x = 7
c. 125 - 5(x + 3) = 15
5(x + 3) = 125 - 15
5(x + 3) = 110
x + 3 = 110 : 5
x + 3 = 22
x = 22 - 3
x = 19
a) 23 . ( 42 - x) = 46 => 42 - x = 46 : 23 = 2
=> x = 42 - 2 = 40
b) 7x - 8 = 41 => 7x = 41 + 8 = 49 => x = 49 : 7 = 7
c) 125 - 5.(x+3) = 15 => 5.(x+3) = 125 - 15 = 110 => x + 3 = 110 : 5 =22
=> x = 22 - 3 = 19
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\(13,5.1,3+1,7x=24,35\)
\(\Rightarrow17,55+1,7x=24,35\)
\(\Rightarrow1,7x=24,35-17,55\)
\(\Rightarrow1,7x=6,8\)
\(\Rightarrow x=\frac{6,8}{1,7}\)
\(\Rightarrow x=4\)
Vậy x =4.
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a) 5.(x-20) = 35
(x-20) = 35:5
x-20 = 7
x = 27
b) (x+125) -301 = 56
x+125 -301 = 56
x - 176 = 56
x = 56 +176
x= 232
c) 215 + (x-21):2 = 235
(x-21):2 = 235 - 215
(x-21):2 = 20
x-21 = 20 .2
x-21 = 40
x = 61
d) (x:23 +45) .67 = 8911
(x:23 +45) = 8911 : 67
x:23+45 = 133
x:23 = 133-45
x:23 = 88
x = 88.23
x = 2024
a) 5.(x - 20) = 35
⇒ x - 20 = 35 : 5
⇒ x - 20 = 7
⇒ x = 7 + 20
⇒ x = 27
b) (x + 125) - 301 = 56
⇒ x + 125 = 56 + 301
⇒ x + 125 = 357
⇒ x = 357 - 125
⇒ x = 232
c) 215 + (x - 21) : 2 = 235
⇒ (x - 21) : 2 = 235 - 215
⇒ (x - 21) : 2 = 20
⇒ x - 21 = 20 x 2
⇒ x - 21 = 40
⇒ x = 21 + 40
⇒ x = 61
d) (x : 23 + 45).67 = 8911
⇒ x : 23 + 45 = 8911 : 67
⇒ x : 23 + 45 = 133
⇒ x : 23 = 133 - 45
⇒ x : 23 = 88
⇒ x = 88 x 23
⇒ x = 2024
\(0,5.x+x:4.6+x:2.4=8\)
\(\Leftrightarrow0,5.x+x.0,25.6+x.0,5.4=8\)
\(\Leftrightarrow x\left(0,5+1,5+2\right)=8\)
\(\Leftrightarrow x.4=8\)
\(\Leftrightarrow x=2\)
Vậy x = 2
0,5 . x + x : 4 . 6 + x : 2 . 4
0,5 . x + x . 0,25 . 6 + x . 0,5 x 4 = 8
0,5.x + x.1,5 + x.2 = 8
x. ( 0,5 + 1,5 + 2 ) = 8
x . 4 = 8
=> x = 2