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1) -x - 3 = 7
-x = 7 + 3
-x = 10
x = -10
2) x + 5 = -10
x = -10 - 5
x = -15
3) 2x - 7 = 713
2x = 713 + 7
2x = 720
x = 720 : 2
x = 360
4) -129 - (35 - x) = 55
35 - x = -129 - 55
35 - x = -184
x = 35 - (-184)
x = 219
5) 103 - x = 16 - (13 - 8)
103 - x = 16 - 5
103 - x = 11
x = 103 - 11
x = 192

\(\left(x+2\right)-2=0\)
\(\Rightarrow x+2-2=0\)
\(\Rightarrow x=0\)
\(\left(x+3\right)+1=7\)
\(\Rightarrow x+3+1=7\)
\(\Rightarrow x+4=7\)
\(\Rightarrow x=3\)
\(\left(3x-4\right)+4=12\)
\(\Rightarrow3x-4+4=12\)
\(\Rightarrow3x=12\)
\(\Rightarrow x=4\)
\(\left(5x+4\right)-1=13\)
\(\Rightarrow5x+4-1=13\)
\(\Rightarrow5x+3=13\)
\(\Rightarrow5x=10\)
\(\Rightarrow x=2\)
\(\left(4x-8\right)-3=5\)
\(\Rightarrow4x-8-3=5\)
\(\Rightarrow4x-11=5\)
\(\Rightarrow4x=16\)
\(\Rightarrow x=4\)
\(8-\left(2x+4\right)=2\)
\(\Rightarrow8-2x-4=2\)
\(\Rightarrow4-2x=2\)
\(\Rightarrow2x=2\)
\(\Rightarrow x=1\)
\(7+\left(5x+2\right)=14\)
\(\Rightarrow7+5x+2=14\)
\(\Rightarrow9+5x=14\)
\(\Rightarrow5x=5\)
\(\Rightarrow x=1\)
\(5-\left(3x-11\right)=1\)
\(\Rightarrow5-3x+11=1\)
\(\Rightarrow16-3x=1\)
\(\Rightarrow3x=15\)
\(\Rightarrow x=5\)

\(\dfrac{x-7}{x+3}=\dfrac{x+3-10}{x+3}=1-\dfrac{10}{x+3}\)
Để \(x-7⋮x+3\Rightarrow10⋮x+3\)
\(\Rightarrow x+3=\left\{-10,-5,-2,-1;1;2;5;10\right\}\)
\(\Rightarrow x=\left\{-13;-8;-5;-4;-2;-1;2;7\right\}\)

dấu / / là giá trị tuyệt đối
a) / x + 3 / = 15
=> x + 3 = 15 hay x + 3 = -15
TH1 : x + 3 = 15
x =15 - 3
x = 12
TH2 : x + 3 = -5
x = -5 - 3
x = -8
VẬy : x thuộc { 12;-8 }
b ) /x-7/ + 13 = 25
/ x - 7 / = 25 - 13
/ x - 7 / = 12
=> x - 7 = 12 hay x - 7 = -12
TH1 : x - 7 = 12
x = 12 + 7
x =19
TH2: x - 7 = -12
x = -12 + 7
x = -5
Vậy : x thuộc { 19; -5 }
c) 3 ( x + 3 )2 = 27
( x + 3 )2 = 27 : 3
( x + 3 ) 2 = 9
x + 3 = 3 hay x + 3 = -3 ( lũy thừa bậc chẵn )
Th1 : x + 3 = 3
x = 3 -3
x = 0
TH2 : x + 3 = -3
x = -3-3
x = -6
Vậy : x thuộc { 0 ; -6 }
d) 20 - 2 ( 1-x )3 = 4
2 ( 1 - x )3 = 20 - 4
2 ( 1 - x )3 = 16
( 1 - x )3 = 16 : 2
( 1 -x )3 = 8
( 1 - x )3 = 23
=> 1 - x = 2
x = 1 - 2
x = -1
VẬy : x = -1

`@` `\text {Ans}`
`\downarrow`
`2+(x+3)=7`
`\Rightarrow x+3=7-2`
`\Rightarrow x+3=5`
`\Rightarrow x=5-3`
`\Rightarrow x=2`
`5+(3+x)=10`
`\Rightarrow 3+x=10-5`
`\Rightarrow 3+x=5`
`\Rightarrow x=5-3`
`\Rightarrow x=2`
`(4+x)+1=7`
`\Rightarrow 4+x=7-1`
`\Rightarrow 4+x=6`
`\Rightarrow x=6-4`
`\Rightarrow x=2`
`(x+5)+3=9`
`\Rightarrow x+5=9-3`
`\Rightarrow x+5=6`
`\Rightarrow x=6-5`
`\Rightarrow x=1`
`(x-1)-4=7`
`\Rightarrow x-1=7+4`
`\Rightarrow x-1=11`
`\Rightarrow x=11+1`
`\Rightarrow x=12`
`4-(6-x)=1`
`\Rightarrow 6-x=4-1`
`\Rightarrow 6-x=3`
`\Rightarrow x=6-3`
`\Rightarrow x=3`
\(2+\left(x+3\right)=7\)
\(\Rightarrow2+x+3=7\)
\(\Rightarrow x+5=7\)
\(\Rightarrow x=2\)
\(5+\left(3+x\right)=10\)
\(\Rightarrow5+3+x=10\)
\(\Rightarrow x+8=10\)
\(\Rightarrow x=2\)
\(\left(4+x\right)+1=7\)
\(\Rightarrow4+x+1=7\)
\(\Rightarrow x+5=7\)
\(\Rightarrow x=2\)
\(\left(x+5\right)+3=9\)
\(=x+5+3=9\)
\(\Rightarrow x+8=9\)
\(\Rightarrow x=1\)
\(\left(x-1\right)-4=7\)
\(\Rightarrow x-1-4=7\)
\(\Rightarrow x-5=7\)
\(\Rightarrow x=12\)
\(4-\left(6-x\right)=1\)
\(\Rightarrow4-6-x=1\)
\(\Rightarrow-2-x=1\)
\(\Rightarrow x=-3\)

`@` `\text {Ans}`
`\downarrow`
`a,`
`4*8`
`= 2^2*2^3`
`=`\(2^{2+3}=2^5\)
`b,`
`4^5*4^4*4`
`=`\(4^{5+4+1}=4^{10}\)
`c,`
\(x^5\cdot x=x^{5+1}=x^6\)
`d,`
\(9\cdot27=3^2\cdot3^3=3^{2+3}=3^5\)
`e,`
\(243\div81=3^5\div3^4=3\)
`g,`
\(625\div25=5^4\div5^2=5^2\)
`@` `\text {Kaizuu lv uuu}`
a) \(4\cdot8=2^2\cdot2^3\)
\(=2^{2+3}=2^5=32\)
b) \(4^5\cdot4^4\cdot4\)
\(=4^{5+4+1}=4^{10}\)
c) \(x^5\cdot x\)
\(=x^{5+1}=x^6\)
d) \(9\cdot27=3^2\cdot3^3\)
\(=3^{2+3}=3^5\)
e) \(243:81=3^5:3^4\)
\(=3^{5-4}=3^1=3\)
g) \(625:25=5^4:5^2\)
\(=5^{4-2}=5^2=25\)

a, 5n=75:3 b, 5.2n=320+5 2n=65 c,x^4=625=5^4 d,(1-x)^3=27=3^3
5n=25 5.2n=325 n=65/2 =>x=5 =>1-x=3=>x=-2
n=5 2n=325:5
i,(2x+1)=5=>2x=6=>x=3 e,3.(x+3)^4=48=>(x+3)^4=16=>x=-1
f,5x+1+30x=275=>35x=274=>x=274/35
g,8.x^3=1000=>x^3=125=>x=5
<==> X+7 = 13+4
<==> X +7 = 17
<==> X = 17-7 = 10
Vậy X = 10
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