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a) -18-(x-6)=0
x-6=(-18)-0
x-6=-18
x = (-18)+6
x = -12
b) 29-(10+29)=x-(27-9)
29-39 = x-18
-10 =x-18
x-18=-10
x = (-10)+18
x = 8
Học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
1,7-(18+x)=-15
<=>18+x=7+15
<=>18+x=22
<=>x=4
2,(x-17)-(-3)=0
<=>x-17+3=0
<=>x-17=-3
,<=>x=14
<=>
1,
7 - ( 18 + x ) = - 15
18 + x = 7 + 15
18 + x = 22
x = 22 - 18
x = 4
2,
( x - 17 ) - ( - 3 ) = 0
( x - 17 ) + 3 = 0
x - 17 = - 3
x = -3 + 17
x = 14
3, -18 - ( x - 6 ) = 0
-18 = x- 6
x = - 18 + 6
x = - 12
4, 29 - ( 10 + 29 ) = x - ( 27 - 9 )
-10 = x - 18
x = - 10 + 18
x = 8
![](https://rs.olm.vn/images/avt/0.png?1311)
a, bổ sung đề
\(\dfrac{29-x}{21}+1+\dfrac{27-x}{23}+1+\dfrac{25-x}{25}+1+\dfrac{23-x}{27}+1+\dfrac{21-x}{29}+1=0\)
\(\Leftrightarrow\dfrac{50-x}{21}+\dfrac{50-x}{23}+\dfrac{50-x}{25}+\dfrac{50-x}{27}+\dfrac{50-x}{29}=0\)
\(\Leftrightarrow\left(50-x\right)\left(\dfrac{1}{21}+\dfrac{1}{23}+\dfrac{1}{25}+\dfrac{1}{27}+\dfrac{1}{29}\ne0\right)=0\Leftrightarrow x=50\)
![](https://rs.olm.vn/images/avt/0.png?1311)
`@` `\text {Ans}`
`\downarrow`
`a)`
\(2^{n+3}\cdot5^{n+3}=20^9\div2^9\)
`=>`\(\left(2\cdot5\right)^{n+3}=\left(20\div2\right)^9\)
`=>`\(10^{n+3}=10^9\)
`=>`\(n+3=9\)
`=> n = 9 - 3`
`=> n= 6`
Vậy, `n=6`
`b)`
\(3^{n+5}-3^{n+4}=1458\)
`=> 3^n*3^5 - 3^n*3^4 = 1458`
`=> 3^n*(3^5 - 3^4) = 1458`
`=> 3^n*162 = 1458`
`=> 3^n = 1458 \div 162`
`=> 3^n = 9`
`=> 3^n = 3^2`
`=> n=2`
Vậy, `n=2.`
`c)`
\(5^{n+3}+5^{n+2}=3750\)
`=> 5^n*5^3 + 5^n*5^2 = 3750`
`=> 5^n*(5^3+5^2) = 3750`
`=> 5^n*150 = 3750`
`=> 5^n = 3750 \div 150`
`=> 5^n =25`
`=> 5^n = 5^2`
`=> n=2`
Vậy, `n=2.`
`d)`
\(\dfrac{2}{7}x+\dfrac{3}{14}x=\dfrac{1}{2}\)
`=> 1/2x = 1/2`
`=> x = 1/2 \div 1/2`
`=> x=1`
Vậy, `x=1`
`e)`
\(\dfrac{x+2}{-3}=\dfrac{-2}{x+3}\)
`=> (x+2)(x+3) = -3*(-2)`
`=> (x+2)(x+3) = -6`
`=> x(x+3) + 2(x+3) = -6`
`=> x^2 + 3x + 2x + 6 = -6`
`=> x^2 + 5x + 6 - 6 = 0`
`=> x^2 + 5x = 0`
`=> x(x+5) = 0`
`=>`\(\left[{}\begin{matrix}x=0\\x+5=0\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\)
Vậy, `x \in {0; -5}`
`@` `\text {Kaizuu lv u}`
![](https://rs.olm.vn/images/avt/0.png?1311)
1) \(A=\frac{7}{10\times11}+\frac{7}{11\times12}+\frac{7}{12\times13}+...+\frac{7}{69\times70}\)
\(A=7\times\left(\frac{1}{10\times11}+\frac{1}{11\times12}+\frac{1}{12\times13}+...+\frac{1}{69\times70}\right)\)
\(A=7\times\left(\frac{1}{10}-\frac{1}{11}+\frac{1}{11}-\frac{1}{12}+\frac{1}{12}-\frac{1}{13}+...+\frac{1}{69}-\frac{1}{70}\right)\)
\(A=7\times\left(\frac{1}{10}-\frac{1}{70}\right)\)
\(A=7\times\frac{3}{35}\)
\(A=\frac{3}{5}\)
2) \(B=\frac{1}{25\times27}+\frac{1}{27\times29}+\frac{1}{29\times31}+...+\frac{1}{73\times75}\)
\(B=\frac{1}{2}\times\left(\frac{2}{25\times27}+\frac{2}{27\times29}+\frac{2}{29\times31}+...+\frac{2}{73\times75}\right)\).
\(B=\frac{1}{2}\times\left(\frac{1}{25}-\frac{1}{27}+\frac{1}{27}-\frac{1}{29}+\frac{1}{29}-\frac{1}{31}+...+\frac{1}{73}-\frac{1}{75}\right)\)
\(B=\frac{1}{2}\times\left(\frac{1}{25}-\frac{1}{75}\right)\)
\(B=\frac{1}{2}\times\frac{2}{75}\)
\(B=\frac{1}{75}\)
3) \(C=\frac{4}{2\times4}+\frac{4}{4\times6}+\frac{4}{6\times8}+...+\frac{4}{2008\times2010}\)
\(C=\frac{4}{2}\times\left(\frac{2}{2\times4}+\frac{2}{4\times6}+\frac{2}{6\times8}+...+\frac{2}{2008\times2010}\right)\)
\(C=2\times\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{2008}-\frac{1}{2010}\right)\)
\(C=2\times\left(\frac{1}{2}-\frac{1}{2010}\right)\)
\(C=2\times\frac{502}{1005}\)
\(C=\frac{1004}{1005}\)
_Chúc bạn học tốt_
![](https://rs.olm.vn/images/avt/0.png?1311)
a,\(7-\left(18+x\right)=-15\)
\(18+x=7-\left(-15\right)\)
\(18+x=22\)
\(x=4\)
b,\(\left(x-17\right)-\left(-3\right)=0\)
\(x-17=-3\)
\(x=14\)
c,\(-18-\left(x-6\right)=0\)
\(x-6=-18\)
\(x=-12\)
d,\(29-\left(10+29\right)=x-\left(27-9\right)\)
\(x-18=-10\)
\(x=8\)
a) \(7-\left(18+x\right)=-15\)
\(\Leftrightarrow18+x=7+15\)
\(\Leftrightarrow18+x=22\)
\(\Leftrightarrow x=22-18\)
\(\Leftrightarrow x=4\)
b) \(\left(x-17\right)-\left(-3\right)=0\)
\(\Leftrightarrow\left(x-17\right)+3=0\)
\(\Leftrightarrow x-17=0-3\)
\(\Leftrightarrow x-17=-3\)
\(\Leftrightarrow x=-3+17\)
\(\Leftrightarrow x=14\)
c) \(-18-\left(x-6\right)=0\)
\(\Leftrightarrow x-6=0+\left(-18\right)\)
\(\Leftrightarrow x-6=-18\)
\(\Leftrightarrow x=-18+6\)
\(\Leftrightarrow x=-12\)
d) \(29-\left(10+29\right)=x-\left(27-9\right)\)
\(\Leftrightarrow29-10-29=x-27+9\)
\(\Leftrightarrow-10=x-27+9\)
\(\Leftrightarrow x-27=-10-9\)
\(\Leftrightarrow x-27=-19\)
\(\Leftrightarrow x=-19+27\)
\(\Leftrightarrow x=8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
29.(85-47)+85.(47-29)
=29.38+85.18
=1102+1530
=2632
BÀI 2
a, 15x = -75
x =( -75) : 15
x = -5
Vậy x= -5
b,-5x+8=-27
-5x = -27 - 8
-5x= -35
x =-35 : -5
x = 7
Vậy x = 7
c,3.(17 + x ) = - 42
17 + x = - 42 : 3
17 + x = -14
x = - 14 - 17
x = -31
Vậy x = - 31
d,-10 -( 2x -16) = 0
2x - 16 = 10-0
2x - 16 = 10
2x = 10 +16
2x = 26
x = 26 : 2
x = 13
Vậy x = 13
e,( mik ko bít làm)
f,( tự làm nghen bạn)
![](https://rs.olm.vn/images/avt/0.png?1311)
1/ -7264 + (1543 + 7264)
=-7264 + 1543 + 7264=1543
2/ (144 – 97) – 144
=144-97-144=-97
3/ (-145) – (18 – 145)(Vì có dấu trừ ở trước ngoặc nên p đổi dấu)
=-145-18+145=-18
4/ 111 + (-11 + 27)
=111-11+27=137
29 - ( 209/10 * x - 80 ) : 2010/29 = 0
( 209/10 * x - 80 ) : 2010/29 = 29 - 0
( 209/10 * x - 80 ) : 2010/29 = 29
( 20,9 * x -80 ) = 29 * 2010/ 29
( 20,9 * x -80 ) = 2010
20,9 * x = 2010 + 80
20,9 * x = 2090
x = 2090 : 20,9
x = 100
mk thank bn lê hải yến nhiều lắm nha!!!![thanghoa thanghoa](https://hoc24.vn/media/cke24/plugins/smiley/images/thanghoa.png)