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a) 5 ( x + 35 ) = 515
x + 35 = 103
x = 68
b) 96 - 3(x+1) = 49
3(x+1) = 47
x + 1 = 47/3
x = 44/3
c) 12x - 33 = 3^2 * 3^3
12x - 33 = 243
12x = 276
x = 23
5 ( x + 35 ) = 515
x + 35 = 515 : 5
x + 35 = 103
x = 103 - 35
x = 68
96 - 3( x + 1 ) = 49
3( x + 1 ) = 96 - 49
3( x + 1 ) = 47
x + 1 = 47/3
x = 47/3 - 1
x = 44/3
12x - 33 = 32 . 33
12x - 33 = 35
12x - 33 = 243
12x = 243 + 33
12x = 276
x = 276 : 12
x = 23
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36 x 12 + 36 x 45 + 36 x 33
= 36 x (12 + 45 + 33)
= 36 x 90
= 3240
b) 78 x 31 + 78 x 24 + 78 x 17 + 22 x 72
=78 x (31 + 24 + 17) + 22 x 72
= 78 x 72 + 22 x 72
= (78 + 22) x 72
= 100 x 72
= 7200
c) ( 34 - 17 )2 - 23 x 32
\(=17^2-8.9\)
\(=289-72\)
\(=217\)
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a ) x = 5 4 x = − 5 4 b ) x = 3 2 x = − 1 2 c ) x = 3 2 x = − 1 2
d ) x = 59 40 x = 61 40 e ) x = 1 3 x = − 1 f ) x = 1 3 x = − 1
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`@` `\text {Ans}`
`\downarrow`
`a)`
`5(x + 35) = 515`
`=> x + 35 = 515 \div 5`
`=> x+ 35 = 103`
`=> x = 103 - 35`
`=> x = 68`
Vậy, `x = 68`
`b)`
`12x - 33 = 3^2 * 3^3`
`=> 12x - 33 = 3^5`
`=> 12x = 3^5 + 33`
`=> 12x = 276`
`=> x = 276 \div 12`
`=> x = 23`
Vậy, `x = 23`
`c)`
`6x - 5 = 19`
`=> 6x = 19 + 5`
`=> 6x = 24`
`=> x = 24 \div 6`
`=> x = 4`
Vậy, `x = 4`
`d)`
`4(x - 12) + 9 = 17`
`=> 4(x - 12) = 17 - 9`
`=> 4(x - 12) = 8`
`=> x - 12 = 8 \div 4`
`=> x - 12 = 2`
`=> x = 14`
Vậy, `x = 14`
`e)`
123 - 5(x + 4) = 38`
`=> 5(x + 4)= 123 - 38`
`=> 5(x + 4) =85`
`=> x + 4 = 85 \div 5`
`=> x + 4 = 17`
`=> x = 13`
Vậy, `x = 13`
`f)`
`(3x - 2^4) * 7^3 = 2 * 7^4`
`=> 3x - 2^4 = 2 * 7^4 \div 7^3`
`=> 3x - 2^4 = 2* 7`
`=> 3x - 2^4 = 14`
`=> 3x = 14 + 2^4`
`=> 3x = 30`
`=> x = 30 \div 3`
`=> x = 10`
Vậy, `x = 10.`
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\(12x-33=3^3.3^3\)
\(12x-33=729\)
\(12x=729+33\)
\(12x=762\)
\(x=762:12\)
\(x=63,5\)
\(12x-33=3^3.3^3\)
\(12x-33=3^6\)
\(12x-33=729\)
\(12x=762\)
\(x=63,5\)
vậy \(x=63,5\)
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Ta có:
a)\(25< 2^x< 3125\)
\(\Rightarrow2^4< 2^x< 2^{12}\)
\(\Rightarrow4< x< 12\)
b)\(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=7450\)
\(\Rightarrow100x+5050=7450\Rightarrow10x=2400\Rightarrow x=240\)
c)\(1+2+3+..+x=\frac{x\left(x+1\right)}{2}=78.\)
\(\Rightarrow x\left(x+1\right)=156\)\(\Rightarrow x=12\)
d)\(12x+13x=25x=2000\Rightarrow x=80\)
e)\(6x+4x=10x=2010\Rightarrow x=201\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a/ 12x - 33 = 32 . 32
=> 12x - 33 = 35 = 243
=> 12x = 243 + 33 = 276
=> x = 276 : 12 = 23
b/ 148 + (78 + x) = 244
=> 78 + x = 148 - 244 = -96
=> x = -96 - 78 = -174
c/ 45 - x = 49 + 52
=> 45 - x = 101
=> x = 45 - 101 = -56
d/ 707 - 3(x + 34) = 407
=> 3(x + 34) = 707 - 407 = 300
=> x + 34 = 300 : 3 = 100
=> x = 100 - 34 = 66
e/ 25.3 - x = 104
=> 75 - x = 104
=> x = 75 - 104 = -29