x . 23 - 6 . 23 + x . 69 = 230
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\(60+x-34=43\Rightarrow x=43+34-60=17\)
\(23x-6.23+69x=230\)
\(\Rightarrow23x+69x=230+6.23\)
\(\Rightarrow92x=368\Rightarrow x=368:92\Rightarrow x=4\)
\(\left(15.24-x\right):0,25=100:0,25\)
\(\Rightarrow\left(360-x\right)=100:0,25.0,25\)
\(\Rightarrow360-x=100\Rightarrow x=360-100=260\)
\(\left(7x+8\right):5=10\Rightarrow\left(7x+8\right)=10.5\)
\(\Rightarrow7x+8=50\Rightarrow7x=50-8\Rightarrow7x=42\Rightarrow x=42:7=6\)
\(280:\left(7+3x\right)=4\Rightarrow\left(7+3x\right)=280:4\)
\(\Rightarrow7+3x=70\Rightarrow3x=70-7\Rightarrow3x=63\Rightarrow x=63:3=21\)
\(\left(x+5\right)x19:13=57\)
\(\Rightarrow\left(x+5\right)x19=57.13\)
\(\Rightarrow\left(x+5\right)=741:19\Rightarrow x+5=39\Rightarrow x=39-5=34\)
\(4\left(36-4x\right)=64\)
\(\Rightarrow\left(36-4x\right)=64:4\)
\(\Rightarrow36-4x=16\)
\(\Rightarrow4x=36-16\Rightarrow4x=20\Rightarrow x=20:4=5\)
\(\left(7,6:1,9\right)x=3,2\)
\(\Rightarrow4x=3,2\Rightarrow x=3,2:4=0,8\)
\(\left(x:2+50\right):5=12\)
\(\Rightarrow x:2+50=12.5\)
\(\Rightarrow x:2=60-50\Rightarrow x:2=10\Rightarrow x=10.2=20\)
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\(78+23\cdot81-69=78+1863-69\)
\(=1941-69\)
\(=1872\)
\(78+23\cdot\left(81-69\right)=78+23\cdot12\)
\(=78+276\)
\(=354\)
\(\left(78+23\right)\cdot81-69=101\cdot81-69\)
\(=8181-69\)
\(=8112\)
\(\left(78+23\right)\cdot\left(81-69\right)=101\cdot12\)
\(=1212\)
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\(\left(84,6-2\cdot x\right):3,02=5,1\)
\(\Rightarrow84,6-2\cdot x=15,402\)
\(\Rightarrow2\cdot x=69,198\)
\(\Rightarrow x=69,198:2\)
\(\Rightarrow x=34,599\)
_____________
\(\left(15\cdot24-x\right):0,25=100:0,25\)
\(\Rightarrow\left(360-x\right):0,25=400\)
\(\Rightarrow360-x=100\)
\(\Rightarrow x-360-100\)
\(\Rightarrow x=260\)
______________
\(128\cdot x-12\cdot x-16\cdot x=5200\)
\(\Rightarrow x\cdot\left(128-12-16\right)=5200\)
\(\Rightarrow x\cdot100=5200\)
\(\Rightarrow x=5200:100\)
\(\Rightarrow x=52\)
__________________
\(5\cdot x+3,75\cdot x+1,25\cdot x=20\)
\(\Rightarrow x\cdot\left(5+3,75+1,25\right)=20\)
\(\Rightarrow10\cdot x=20\)
\(\Rightarrow x=20:10\)
\(\Rightarrow x=2\)
\(x\cdot3,7+x\cdot6,3=360:120\)
\(\Rightarrow x\cdot\left(3,7+6,3\right)=3\)
\(\Rightarrow x\cdot10=3\)
\(\Rightarrow x=\dfrac{3}{10}\)
__________________
\(x\cdot23-6\cdot23+x\cdot69=320\)
\(\Rightarrow x\cdot\left(23+69\right)=320+6\cdot23\)
\(\Rightarrow x\cdot92=458\)
\(\Rightarrow x=458:92\)
\(\Rightarrow x=\dfrac{229}{46}\)
___________________
\(\left(x+1\right)\left(x+2\right)=72\)
\(\Rightarrow x^2+2x+x+2=72\)
\(\Rightarrow x^2+3x+2=72\)
\(\Rightarrow x^2+3x+2-72=0\)
\(\Rightarrow x^2+3x-70=0\)
\(\Rightarrow x^2+10x-7x-70=0\)
\(\Rightarrow\left(x-7\right)\left(x+10\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=7\\x=-10\end{matrix}\right.\)
___________________
\(\left(x+2\right)\cdot16\cdot x=160x\)
\(\Rightarrow16x^2+32x=160x\)
\(\Rightarrow16x^2+32x-160x=0\)
\(\Rightarrow16x^2-128x=0\)
\(\Rightarrow16x\left(x-8\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=8\end{matrix}\right.\)
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Hướng dẫn giải:
a) 987 x 23 + 987 x 77
= 987 x (23 + 77)
= 987 x 100
= 98700
b) 2928 x 69 – 1928 x 69
= (2928 – 1928) x 69
= 1000 x 69
= 69000
![](https://rs.olm.vn/images/avt/0.png?1311)
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\(23\times45\times\left(45\times24-69\right)\times67\)
\(=23\times45\times\left(1080-69\right)\times67\)
\(=23\times45\times1011\times67\)
\(=1035\times1011\times67\)
\(=1046385\times67\)
\(=70107795\)
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x + 7 = 89
x = 89 - 7
x = 82
x + 6 = 34
x = 34 - 6
x = 28
x + 8 = 89
x = 89 - 8
x = 81
x + 9 = 23
x = 23 - 9
x = 14
+) x+7=89
x= 89-7=82
vậy x=82
+) x+8=69
x=69-8=61
vậy x=61
+) x+6=34
x= 34-6=28
vậy x= 38
+ x+9=23
x= 23-9=14
vậy x=14
`x.23-6.23+x.69=230`
`23x-138+69x=230`
`(23x+69x)-138=230`
`[(23+69)x]-138=230`
`92x-138=230`
`92x=230+138`
`92x=368`
`x=368:92`
`x=4`
Vậy `x=4`
X* 23 - 6 * 23 + x * 69 = 230
<=> 23x - 6×23 + 23×3×x = 230
<=> 23×(x - 6 +3x) = 230
=> x-6+3x = 230/23 = 10
=> 4x= 10+6 = 16
=> X = 4