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\(a)\frac{-84}{14}< 3x< \frac{108}{9}\)
\(\Rightarrow-6< 3x< 12\)
\(\Rightarrow-2< x< 4\)
\(\Rightarrow x=3\)
\(c)\frac{x-1}{9}=\frac{8}{3}\)
\(\Rightarrow x-1=\frac{8}{3}\cdot9\)
\(\Rightarrow x-1=24\)
\(\Rightarrow x=25\)
\(d)\frac{-x}{4}=\frac{-9}{x}\)
\(\Rightarrow(-x)\cdot x=(-9)\cdot4\)
\(\Rightarrow-x^2=-36\)
\(\Rightarrow x=\pm6\)
\(e)\frac{x}{4}=\frac{18}{x+1}\)
\(\Rightarrow x(x+1)=18\cdot4\)
\(\Rightarrow x(x+1)=72\)
\(\Rightarrow x(x+1)=8\cdot9=(-9)\cdot(-8)\)
Do đó : x = 8 hoặc x = -9
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1) 5x = 120 : 2
5x = 60
x = 60 : 5
x = 12.
2) 3x + 27 = 45
3x = 45 - 27
3x = 18
x = 18 : 3
x = 6.
3) 73 + x - 122 = 234 : 2
73 + x - 122 = 117
73 + x = 117 + 122
73 + x = 239
x = 239 - 73
x = 166.
4) 32 - 2 ( x - 1 ) = 12
2 ( x - 1 ) = 32 - 12
2 ( x - 1 ) = 20
x - 1 = 20 : 2
x - 1 = 10
x = 10 + 1
x = 11.
5) 3 ( x + 1 ) - 15 = 36
3 ( x + 1 ) = 36 + 15
3 ( x + 1 ) = 51
x + 1 = 51 : 3
x + 1 = 17
x = 17 - 1
x = 16.
6) 32 - ( 4x - 16 ) = 21
4x - 16 = 32 - 21
4x - 16 = 11
4x = 11 + 16
4x = 27
x = 27 : 4
x = 6,75.
7) 13x - 3x = 500
( 13 - 3 )x = 500
10x = 500
x = 500 : 10
x = 50.
8) 9x + x - 35 = 68
9x + 1x - 35 = 68
9x + 1x = 68 + 35
9x + 1x = 103
( 9 + 1 )x = 103
10x = 103
x = 103 : 10
x = 10,3.
1) 5x = 120 : 2
5x = 60
x = 60 : 5
x = 12.
2) 3x + 27 = 45
3x = 45 - 27
3x = 18
x = 18 : 3
x = 6.
3) 73 + x - 122 = 234 : 2
73 + x - 122 = 117
73 + x = 117 + 122
73 + x = 239
x = 239 - 73
x = 166.
4) 32 - 2 ( x - 1 ) = 12
2 ( x - 1 ) = 32 - 12
2 ( x - 1 ) = 20
x - 1 = 20 : 2
x - 1 = 10
x = 10 + 1
x = 11.
5) 3 ( x + 1 ) - 15 = 36
3 ( x + 1 ) = 36 + 15
3 ( x + 1 ) = 51
x + 1 = 51 : 3
x + 1 = 17
x = 17 - 1
x = 16.
6) 32 - ( 4x - 16 ) = 21
4x - 16 = 32 - 21
4x - 16 = 11
4x = 11 + 16
4x = 27
x = 27 : 4
x = 6,75.
7) 13x - 3x = 500
( 13 - 3 )x = 500
10x = 500
x = 500 : 10
x = 50.
8) 9x + x - 35 = 68
9x + 1x - 35 = 68
9x + 1x = 68 + 35
9x + 1x = 103
( 9 + 1 )x = 103
10x = 103
x = 103 : 10
x = 10,3.
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a; 35 ⋮ \(x\) + 3
\(x+3\) \(\in\) Ư(35) = {-35; - 7; -5; -1; 1; 5; 7; 35}
Lập bảng ta có:
\(x+3\) | -35 | -7 | -5 | -1 | 1 | 5 | 7 | 35 |
\(x\) | -38 | -10 | -8 | -4 | -2 | 2 | 4 | 32 |
Theo bảng trên ta có:
\(x\in\) {-38; -10; -8; -4; -2; 2; 4; 32}
Kết luận: \(x\) {-38; -10; -8; -2; 2; 4; 32}
-
b; 10 ⋮ 2\(x\) + 1
2\(x\) + 1 \(\in\) Ư(10) = {-10; -5; -2; -1; 1; 2; 5; 10}
Lập bảng ta có:
2\(x+1\) | -10 | -5 | -2 | -1 | 1 | 2 | 5 | 10 |
\(x\) | -11/2 | -3 | -3/2 | -1 | 0 | 3/2 | 2 | 11/2 |
Theo bảng trên ta có: \(x\in\) {-11/2; -3; -3/2; -1; 0; 3/2; 2; 11/2}
![](https://rs.olm.vn/images/avt/0.png?1311)
Tìm số nguyên x, biết:
1) -16 + 23 + x = - 16
7+x=-16
x=-16-7
x=-23
2) 2x – 35 = 15
2x=15+35
2x=50
x=50:2
x=25
3) 3x + 17 = 12
3x=12-17
3x=-5
x=-5/3
4) (2x – 5) + 17 = 6
2x-5=6-17
2x-5=-11
2x=-11+5
2x=-6
x=-6:2
x=-3
5) 10 – 2(4 – 3x) = -4
2(4-3x)=10-(-4)
2(4-3x)=14
4-3x=14:2
4-3x=7
3x=4-7
3x=-3
x=-3:3
x=-1
6) - 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
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 5x = 120 : 2
5x = 60
x = 60 : 5
x = 12
b) 3x + 27 = 45
3x = 45 - 27
3x = 18
x = 18 : 3
x = 6
c) 73 + x - 122 = 234 : 2
73 + x - 122 = 117
73 + x = 117 + 122
73 + x = 239
x = 239 - 73
x = 166
d) 32 - 2(x - 1) = 12
2(x - 1) = 32 - 12
2(x - 1) = 20
x - 1 = 20 : 2
x - 1 = 10
x = 10 + 1
x = 11
e) 3(x + 1) - 15 = 36
3(x + 1) = 36 + 15
3(x + 1) = 51
x + 1 = 51 : 3
x + 1 = 17
x = 17 - 1
x = 16
f) 21 - (4x - 16) = 21
4x - 16 = 21 - 21
4x - 16 = 0
4x = 0 + 16
4x = 16
x = 16 : 4
x = 4
g) 13x - 3x = 500
10x = 500
x = 500 : 10
x = 50
h) 9x + x - 35 = 65
10x - 35 = 65
10x = 65 + 35
10x = 100
x = 100 : 10
x = 10
215 - ( x - 35 ) = 150
( x - 35 ) = 215 - 150
( x - 35 ) = 65
x = 65 + 35
x = 100
3x + 3x+1 =108
=> 3x ( 1 + 3 ) = 108
=> 3x = 27
=> 3x = 33
=> x = 3