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a, (2\(x\) -5) + 17 = 6
2\(x\) - 5 = 6 - 17
2\(x\) - 5 = - 11
2\(x\) = - 11 + 5
2\(x\) = -6
\(x\) = -3
b, (-18).\(x\) = - 36
\(x\) = -36 : (-18)
\(x\) = 2
c, 15 - (-11\(x\) - 7) = -22
- 11\(x\) - 7 = 15 + 22
-11\(x\) - 7 = 37
11\(x\) = -37 - 7
11\(x\) = - 44
\(x\) = - 4
a) \(\left(2x-5\right)+17=6\Rightarrow2x-5=-11\Rightarrow2x=-6\Rightarrow x=-3\)
b) \(\left(-18\right)x=-36\Rightarrow x=\left(-36\right):\left(-18\right)=2\)
c) \(15-\left(-11x-7\right)=-22\)
\(\Rightarrow15+11x+7=-22\)
\(\Rightarrow11x=-22-7-15\)
\(\Rightarrow11x=-44\)
\(\Rightarrow x=-44:11=-4\)
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1. x + 2x = -36
=> 3x = -36
=> x = -36 : 3
=> x = -12
2. (2x + 3) \(⋮\)(x - 2)
=> (2x - 2) + 5 \(⋮\)(x - 2)
=> 2(x - 2) + 5 \(⋮\)(x - 2)
=> 5 \(⋮\)(x - 2)
=> x - 2 \(\in\)Ư(5) = {-5;-1;1;5}
=> x \(\in\){-3;1;3;7}
3. Khi đó a . (-b) = -132
4. -2(3x + 2) = 12 + 22 + 32
=> -2(3x + 2) = 1 + 4 + 9
=> -2(3x + 2) = 14
=> 3x + 2 = 14 : (-2)
=> 3x+ 2 = -7
=> 3x = -7 - 2
=> 3x = -9
=> x = -9 : 3
=> x = -3
1/ \(x+2x=-36\)
\(\Rightarrow3x=-36\)
\(\Rightarrow x=-\frac{36}{3}\)
\(\Rightarrow x=-12\)
2/ \(\left(2x+3\right)⋮\left(x-2\right)\)
\(\Leftrightarrow\left(2x-4\right)+7⋮\left(x-2\right)\)
\(\Leftrightarrow2\left(x-2\right)+7⋮\left(x-2\right)\)
\(\Rightarrow7⋮\left(x-2\right)\)
\(\Rightarrow\left(x-2\right)\inƯ\left(7\right)\)
\(\Rightarrow x\inƯ\left(7-2\right)\)
\(\Rightarrow x\inƯ\left(5\right)\)
\(\Rightarrow x\in\left\{-5,1,5\right\}\)
Vậy x nhỏ nhất để \(\left(2x-3\right)⋮\left(x-2\right)\) là -5
3/ Vì \(a\cdot b=32\)
\(\Rightarrow-a\cdot b=-\left(a\cdot b\right)=-32\)
4/ \(-2\left(3x+2\right)=1^2+2^2+3^2\)
\(\Leftrightarrow-6x-4=1+4+9\)
\(\Leftrightarrow-6x=14+4\)
\(\Leftrightarrow-6x=18\)
\(\Leftrightarrow x=\frac{18}{-6}\)
\(\Rightarrow x=3\)
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a) \(-45:5.\left(-3-2x\right)=3\)
\(-9.\left(-3-2x\right)=3\)
\(-3-2x=\left(3:-9\right)\)
\(-3-2x=\dfrac{-1}{3}\)
\(-2x=-3-\dfrac{1}{3}\)
-2x=\(\dfrac{-10}{3}\)
\(x=\dfrac{-10}{3}:-2\)
\(x=\dfrac{5}{3}\)
b)
3x - 28 = x + 36
<=> 3x - x = 36 + 28
<=> 2x = 64
<=> x = 32
Vậy x = 32
c)
(-12)2.x = 56 + 10.13.x
144.x = 56 + 130.x
144x – 130 x = 56
14x = 56
x = 56: 14
x = 4
Vậy x = 4
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a.
\(10-2\left(4-3x\right)=-4\)
\(\Leftrightarrow2\left(4-3x\right)=10+4\)
\(\Leftrightarrow2\left(4-3x\right)=14\)
\(\Leftrightarrow4-3x=7\)
\(\Leftrightarrow3x=-3\)
\(\Leftrightarrow x=-1\)
b.
\(-12+3\left(-x+7\right)=-18\)
\(\Leftrightarrow3\left(-x+7\right)=-18+12=-6\)
\(\Leftrightarrow-x+7=-6:3=-2\)
\(\Leftrightarrow x=9\)
c.
\(-45:5.\left(-3-2x\right)=3\)
\(\Leftrightarrow-9.\left(-3-2x\right)=3\)
\(\Leftrightarrow-3-2x=-\dfrac{1}{3}\)
\(\Leftrightarrow2x=-\dfrac{8}{3}\)
\(\Leftrightarrow x=-\dfrac{4}{3}\notin Z\left(loại\right)\)
Câu này em ghi sai đề?
d.
\(3x-28=x+36\)
\(\Leftrightarrow2x=28+36\)
\(\Leftrightarrow2x=64\)
\(\Leftrightarrow x=32\)
e.
\(\left(-12\right)^2.x=56+10.13x\)
\(\Leftrightarrow144x=56+130x\)
\(\Leftrightarrow144x-130x=56\)
\(\Leftrightarrow14x=56\)
\(\Leftrightarrow x=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) (x: 8 - l).2 = 1.14 nên x : 8 - 1 = 7. Do đó x = 64.
b) (2x + 3).30 = 25.6 nên 2x + 3 = 5. Do đó x = 1.
c) 6.(2x - 7) = 9.(x - 3) nên 12x - 42 = 9x - 27.
Do đó 3x = 15. Vậy x = 5.
d) -7.(x + 27) = 6.(x + l) nên -7x - 189 = 6x + 6.
Do đó 13x = -195. Vậy x = -15.
x + 2.x = -36
<=> 3.x = -36
<=> x = -36 : 3
<=> x = -12
x + 2x = -36
=> x+2x=3x
3x=-36
x=-36 : 3
x=-12