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a) \(\Rightarrow5\left(x-10\right)=10\)
\(\Rightarrow x-10=2\Rightarrow x=12\)
b) \(\Rightarrow3\left(70-x\right)+5=92\)
\(\Rightarrow3\left(70-x\right)=87\)
\(\Rightarrow70-x=29\Rightarrow x=41\)
c) \(\Rightarrow230+\left[16+\left(x-5\right)\right]=315\)
\(\Rightarrow11+x=85\Rightarrow x=74\)
d) \(\Rightarrow707:\left(2^x-5+74\right)=7\)
\(\Rightarrow2^x-5+74=101\Rightarrow2^x-5=27\)
\(\Rightarrow2^x=32\Rightarrow x=5\)
\(a,210-5x=200\)
\(5x=10\)
\(x=2\)
Vậy \(x=2\)
\(b,210-5\left(x-10\right)=200\)
\(5\left(x-10\right)=10\)
\(x-10=2\)
\(x=12\)
Vậy \(x=12\)
\(c,450\div\left[41-\left(2x-5\right)\right]=3^2.5\)
\(450\div\left[41-\left(2x-5\right)\right]=45\)
\(41-\left(2x-5\right)=10\)
\(2x-5=31\)
\(2x=36\)
\(x=18\)
Vậy \(x=18\)
\(d,350\div x+10=20\)
\(350\div x=10\)
\(x=35\)
Vậy \(x=35\)
\(e,36\div\left(x-5\right)=2^2\)
\(36\div\left(x-5\right)=4\)
\(x-5=9\)
\(x=14\)
Vậy \(x=14\)
\(f,\left[3\left(70-x\right)+5\right]\div2=46\)
\(3\left(70-x\right)+5=92\)
\(3\left(70-x\right)=87\)
\(70-x=29\)
\(x=41\)
Vậy \(x=41\)
a)210-5x=200 b)210-5(x-10)=200
5x=210-200=10 5(x-10)=210-200=10
x=10:5=2 x-10 =10:5=2 c)45:[41-(2x-5)]=32.5 x =2+10=12
45:[41-(2x-5)] =9.5=45 d)350:x+10=20
41-(2x-5)=45:45=1 350:x =20-10=10
2x-5 =41-1=40 x =350:10=35
2x =40+5=45
x =45:2=22,5
e)36:(x-5)=22 f)[3.(70-x)+5]:2=46
36:(x-5)=4 [3.(70-x)+5] =46.2=92
x-5 =36:4=9 3.(70-x) =92-5=87
x =9+5=14 70-x =87:3=29
x =70-29=41
a) 210 -5.x= 200
<=> 5.x = 210 - 200
<=> 5.x = 10
<=> x = 10 : 5
<=> x = 2
Vậy x = 2
b) 210 - 5 . ( x-10 ) = 200
<=> 5. (x-10) = 210 - 200
<=> 5.(x-10) = 10
<=> x -10 = 10 : 5
<=> x - 10 = 2
<=>x = 12
Vậy x = 12
d)350 : x + 10 = 20
<=> 350 : x = 20 - 10
<=> 350 : x = 10
<=> x = 350 : 10
<=> x = 35
Vậy x = 35
e)36 : ( x - 5 ) = 22
<=> 36 : ( x-5) = 4
<=> x - 5 = 36 : 4
<=> x - 5 = 9
<=> x = 9 + 5
<=> x = 14
Vậy x =14
e) [3 . (70-x) + 5 ] : 2 = 46
<=> [3 . (70-x) + 5 ] = 46 . 2
<=> [3 . (70-x) + 5 ] = 92
<=> 210 - 3.x + 5 = 92
<=>210- 3.x = 92 - 5
<=> 210 - 3.x = 87
<=> 3.x = 210 - 87
<=> 3.x = 123
<=> x = 123 : 3
<=> x = 41
Vậy x = 41
a: Ta có: \(7x+25=144\)
\(\Leftrightarrow7x=119\)
hay x=17
b: Ta có: \(33-12x=9\)
\(\Leftrightarrow12x=24\)
hay x=2
c: Ta có: \(128-3\left(x+4\right)=23\)
\(\Leftrightarrow3\left(x+4\right)=105\)
\(\Leftrightarrow x+4=35\)
hay x=31
d: Ta có: \(71+\left(726-3x\right)\cdot5=2246\)
\(\Leftrightarrow5\left(726-3x\right)=2175\)
\(\Leftrightarrow726-3x=435\)
\(\Leftrightarrow3x=291\)
hay x=97
e: Ta có: \(720:\left[41-\left(2x+5\right)\right]=40\)
\(\Leftrightarrow41-\left(2x+5\right)=18\)
\(\Leftrightarrow2x+5=23\)
\(\Leftrightarrow2x=18\)
hay x=9
Bài 10:
a: 2x-3 là bội của x+1
=>\(2x-3⋮x+1\)
=>\(2x+2-5⋮x+1\)
=>\(-5⋮x+1\)
=>\(x+1\in\left\{1;-1;5;-5\right\}\)
=>\(x\in\left\{0;-2;4;-6\right\}\)
b: x-2 là ước của 3x-2
=>\(3x-2⋮x-2\)
=>\(3x-6+4⋮x-2\)
=>\(4⋮x-2\)
=>\(x-2\inƯ\left(4\right)\)
=>\(x-2\in\left\{1;-1;2;-2;4;-4\right\}\)
=>\(x\in\left\{3;1;4;0;6;-2\right\}\)
Bài 14:
a: \(4n-5⋮2n-1\)
=>\(4n-2-3⋮2n-1\)
=>\(-3⋮2n-1\)
=>\(2n-1\inƯ\left(-3\right)\)
=>\(2n-1\in\left\{1;-1;3;-3\right\}\)
=>\(2n\in\left\{2;0;4;-2\right\}\)
=>\(n\in\left\{1;0;2;-1\right\}\)
mà n>=0
nên \(n\in\left\{1;0;2\right\}\)
b: \(n^2+3n+1⋮n+1\)
=>\(n^2+n+2n+2-1⋮n+1\)
=>\(n\left(n+1\right)+2\left(n+1\right)-1⋮n+1\)
=>\(-1⋮n+1\)
=>\(n+1\in\left\{1;-1\right\}\)
=>\(n\in\left\{0;-2\right\}\)
mà n là số tự nhiên
nên n=0
a, 36:(x–5) = 2 2
(x–5) = 9
x = 14
b, [3.(70–x)+5]:2 = 46
[3.(70–x)+5] = 92
70–x = 29
x = 41
c, 450:[41–(2x–5)] = 3 2 .5
41–(2x–5) = 10
2x–5 = 31
2x = 36
x = 18
d, 230+[ 2 4 +(x–5)] = 315. 2018 0
16+(x–5) = 315–230
x–5 = 85–16
x = 69+5
x = 74
e, 2 x + 2 x + 1 = 48
2 x .(2+1) = 48
2 x = 16 = 2 4
x = 4
f, 3 x + 2 + 3 x = 2430
3 x . 3 2 + 1 = 2430
3 x = 2430:10 = 243 = 3 5
x = 5