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d) \(x-\left(-25+x\right)=13-x.\)
\(\Rightarrow x+25+x=13-x\)
\(\Rightarrow x+x+x=13-25\)
\(\Rightarrow3x=-12\)
\(\Rightarrow x=-4\)
e) \(15-\left(30+x\right)=x-\left(27-\text{| }-8\text{| }\right)\)
\(\Rightarrow15-30-x=x-19\)
\(\Rightarrow-15-x=x-19\)
\(\Rightarrow-15+19=x+x\)
\(\Rightarrow4=2x\)
\(x=2\)
f) \(\left(12x-4^3\right).8^3=4.8^4\)
\(\left(12x-2^6\right).2^9=2^2.2^{12}\)
\(12x-2^6=2^2.2^{12}\div2^9\)
\(12x-64=2^5=32\)
\(12x=96\)
\(x=8\)
g) \(\left[119-\left(3^3-10\right)\right].x=2448\)
\(\left[119-\left(27-10\right)\right].x=2448\)
\(\left[119-17\right].x=2448\)
\(102.x=2448\)
\(x=24\)
h)
[( 10 - x ) .2-51] : 3 - 2 = 3
[( 10 - x ) .2-51] : 3 = 3 + 2
[( 10 - x ) .2-51] : 3 = 5
( 10 - x ) .2 - 51 = 5 . 3
( 10 - x ) . 2 - 51 = 15
( 10 - x ) . 2 = 15 + 51
( 10 - x ) . 2 = 66
10 - x = 66 : 2
10 - x = 33
x = 10 - 33
x = -23
i)
(x-12)-15 = (20-7)-(18+x)
x-12-15 = 20-7-18-x
x-27 = -5-x
=> x-27+5+x = 0
2x-25 =0
2x = 0+25 = 25
k)
Bài 2:a)<=>5(x+4) =125-38
<=>5(x+4)=87
<=>x+4=17,4
<=>x=17,4-4=13.4
b)<=> ( 3x – 24) . 73 = 2.74
<=> (3x – 16) = 2.74 : 73
<=> (3x – 16) =2.7
<=>3x – 16 = 14
<=> 3x = 30
<=> x = 10
c)=> xϵ ƯC (70, 84) và x > 8
Ta có: 70 = 2. 5. 7 => ƯCLN( 70,84) = 2. 7 = 14
84 = 22. 3. 7
=> ƯC (70, 84) = Ư(14) = { 1 ;2; 7; 14 }
Vì x > 8 => x = 14
d)=>xϵ BCNN (12, 25, 30) và 0 < x < 500
=>BC(12,25,30)=B(300) = { 0; 300; 600; …}
Vì 0 < x < 500
=> x = 300
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Trả lời
1)17-2(2x-3)=3
2(2x-3)=17-3
2(2x-3)=14
2x-3 =14:2
2x-3 =7
2x =7+3
2x =10
x =10:2
x =5
1) 17 - 2(2x - 3) = 3
=> 17 - 4x + 6 = 3
=> 23 - 4x = 3
=> 4x = 23 - 3
=> 4x = 20
=> x = 20 : 4 = 5
2) 125 - 5(3x - 1) = 25
=> 125 - 15x + 5 = 25
=> 130 - 15x = 25
=> 15x = 130 - 25
=> 15x = 105
=> x = 105 : 15
=> x = 7
3) 70 - 5(2x - 3) = 45
=> 70 - 10x + 15 = 45
=> 85 - 10x = 45
=> 10x = 85 - 45
=> 10x = 40
=> x = 40 : 10
=> x = 4
4) 231 - (x - 6) = 133 : 13
=> 231 - x + 6 = 133/13
=> 237 - x = 133/13
=> x = 237 - 133/13
=> x = 2948/13
\(a.\left(x-37\right).25=0\\\Leftrightarrow x-27=0\\ \Leftrightarrow x=27\)
\(b.\left(x-42\right)\left(x-21\right)=0\\ \Leftrightarrow\orbr{\begin{cases}x-42=0\\x-21=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=42\\x=21\end{cases}}}\)
a) (x+12)-20=0
x+12=20
x=8
b) 5.(x-7)=0
x-7=0
x=7
c) 12x-3x+1=937
12x-3x=936
9x=936
x=104
d) 2448 : [ 119 - ( x - 6 ) ] = 24
119-(x-6) = 102
x-6=17
x=23
a ) ( x + 12 ) - 20 = 0
x + 12 = 0 + 20
x +12 = 20
x = 20 - 12
x = 8
b ) 5 . ( x - 7 ) =0
x - 7 = 0 : 5
x - 7 = 0
x = 0 + 7
x = 7