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a: =>31-x=60
=>x=-29
b: =>(x-140):35=280-270=10
=>x-140=350
=>x=490
c: =>(1900-2x):35=48
=>1900-2x=1680
=>2x=220
=>x=110
d: =>\(2^{2x-1}=2^9\cdot2=2^{11}\)
=>2x-1=11
=>x=6
e: =>(x+2)^5=4^5
=>x+2=4
=>x=2
f: =>3x-4=0 hoặc x-1=0
=>x=4/3 hoặc x=1
g: =>(2x-1)^2=49
=>2x-1=7 hoặc 2x-1=-7
=>x=-3 hoặc x=4
h: =>x(x+1)/2=78
=>x(x+1)=156
=>x=12
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a ; 29 x 64 +116 x 34
= 29 x 2 x 32 + 116 : 2 x 2 x 34
= 58 x 32 + 58 x 68
= 58 ( 32 + 68)
= 58 x 100
= 5800
b, 136 x 68 + 16 x 272
= 136 x 68 + 16 x 2 x 136
= 136 x 68 + 136 x 32
= 136 ( 68 + 32)
= 136 x 100
= 13600
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,2.\left(x+15\right)-5=35\)
\(\Leftrightarrow2.\left(x+15\right)=35+5\)
\(\Leftrightarrow2.\left(x+15\right)=40\)
\(\Leftrightarrow x+15=40:2\)
\(\Leftrightarrow x+15=20\)
\(\Leftrightarrow x=20-15\)
\(\Leftrightarrow x=5\) \(\text{Vậy }x=5\)
\(b,9x-33=3^{2015}:3^{2014}\)
\(\Leftrightarrow9x-33=3^{2015-2014}\)
\(\Leftrightarrow9x-33=3\)
\(\Leftrightarrow9x=3+33\)
\(\Leftrightarrow9x=36\)
\(\Leftrightarrow x=36:9\)
\(\Leftrightarrow x=4\) \(\text{Vậy }x=4\)
\(c,3.\left(2x-4\right)^3=24\)
\(\Leftrightarrow\left(2x-4\right)^3=24:3\)
\(\Leftrightarrow\left(2x-4\right)^3=8\)
\(\Leftrightarrow\left(2x-4\right)^3=2^3\)
\(\Leftrightarrow2x-4=2\)
\(\Leftrightarrow2x=2+4\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=6:2\)
\(\Leftrightarrow x=3\) \(\text{Vậy }x=3\)
\(d,\left(x-140\right):7=3\)
\(\Leftrightarrow\left(x-140\right)=3.7\)
\(\Leftrightarrow x-140=21\)
\(\Leftrightarrow x=21+140\)
\(\Leftrightarrow x=161\) \(\text{Vậy }x=161\)
\(e,2.3^x-5^3:5^5=29\)
\(\Leftrightarrow2.3^x-5^3:5^3:5^2=29\)
\(\Leftrightarrow2.3^x-1:5^2=29\)
\(\Leftrightarrow2.3^x-\frac{1}{25}=29\)
\(\Leftrightarrow2.3^x=29+\frac{1}{25}\)
\(\Leftrightarrow2.3^x=\frac{726}{25}\)
\(\Leftrightarrow3^x=\frac{726}{25}:2\)
\(\Leftrightarrow3^x=\frac{726}{25}:2\)
\(\Leftrightarrow3^x=\frac{363}{25}\)
\(\Leftrightarrow3^x=3^{2,435369636...}\)
\(\Leftrightarrow x=2,435369636...\)
\(\text{Vậy }x=2,435369636\left(\text{bạn thử kiểm tra lại đề nha}\right)\)
\(f,12:x\text{ và }x\le5\)
\(\text{Do }x\le5\)
\(\Leftrightarrow12:x\le2,4\left(\text{lấy 12 chia cho cả 2 vế}\right)\)
\(\text{Câu này bạn phải cho điều kiện }x\in N,\text{nếu không x có nhiều giá trị lắm }\)
\(\text{Nếu }x\in N\Rightarrow12:x\in N\)
\(\Leftrightarrow12:x\le2,4\left(\text{lấy 12 chia cho cả 2 vế}\right)\)
\(\Rightarrow12:x\in\left\{0;1;2\right\}\)
\(\begin{matrix}12:x&0&1&2\\x&x\in\varnothing&12&6\\\text{Đánh giá}&Loại&Chọn&Chọn\end{matrix}\)
\(\text{Vậy }x\in\left\{6;12\right\}\)
\(g,3x-2x+7x=16\)
\(\Leftrightarrow x.\left(3-2+7\right)=16\)
\(\Leftrightarrow x.8=16\)
\(\Leftrightarrow x=16:8\)
\(\Leftrightarrow x=2\) \(\text{Vậy }x=2\)
\(h,5^{10}.\left(2x-1\right)=5^{12}\)
\(\Leftrightarrow2x-1=5^{12}:5^{10}\)
\(\Leftrightarrow2x-1=5^2\)
\(\Leftrightarrow2x-1=25\)
\(\Leftrightarrow2x=25+1\)
\(\Leftrightarrow2x=26\)
\(\Leftrightarrow x=26:2\)
\(\Leftrightarrow x=13\) \(\text{Vậy }x=13\)
\(i,5⋮\left(x+1\right)\)
\(\Rightarrow x+1\inƯ\left(5\right)=\left\{-1;1;-5;5\right\}\)
x+1 | 1 | -1 | 5 | -5 |
x | 0 | -2 | 4 | -6 |
Đánh giá | Chọn | Chọn | Chọn | Chọn |
\(\text{Vậy }x\in\left\{-6;-2;0;4\right\}\)
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2) -3(50 - x)3 = 81
=> (1 - x)3 = 81 : (-3)
=> (1 - x)3 = -27
=> (1 - x)3 = (-3)3
=> 1 - x = -3
=> x = 1 + 3
=> x = 4
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a) (3x-12) :8 +10= 13
<=> (3x-12):8 = 13-10 = 3
<=> 3x-12 = 3 .8 = 24
<=> 3x = 24+12=36
<=> x=36:3=12
b) (x+5).8-20 = 60
<=> (x+5) .8 = 60+20=80
<=> x+5 = 80:8 = 10
<=> x=10-5 = 5
c) 3.[35+(x-10)]-375 = 0
<=> 3.[35+(x-10)] = 0 +375=375
<=> 35+(x-10) = 375 :3 = 125
<=> x-10 = 125-35=90
<=> x = 90+10 = 100
d) ( 158x+173-24) :35 = 81
<=> 158x+149 = 81 . 35 = 2835
<=> 158x = 2835 -149= 2686
<=> x= 2686 : 158 = 17
e) x - 140 : 35 = 0
<=> x-4 = 0
<=> x=0+4 = 4
(3x - 12 ) : 8 + 10 = 13
(3x - 12 ) : 8 = 13 - 10 = 3
(3x - 12 ) = 3 x 8 = 24
3x = 24 - 12 = 12
x =13 : 3 = 4
( x + 5 )
![](https://rs.olm.vn/images/avt/0.png?1311)
bài 2 tìm x
a,106- ( x+ 7) =9
x+7 = 106 - 9
x+7 = 107
x= 107 - 7
x=100
b, 2 x ( x+ 4) + 5 =65
2 x (x+4) = 65 - 5
2 x (x+4) = 60
x+4 = 60:2
x+4= 30
x= 30 - 4
x=26
c, (16x x -32) x 45=0
16 x X - 32 = 0: 45
16 x X - 32 =0
16 x X = 0 + 32
16 x X = 32
X= 32:16
X=2
d, x+4 x x = 100 : 5
X + 4 x X = 20
(1+4) x X = 20
5 x X = 20
X= 20:5
X=4
( x - 5 ) * 3 - 140 : 35 = 152
( x - 5 ) * 3 - 4 = 152
( x - 5 ) * 3 = 152 + 4
( x - 5 ) * 3 = 156
x - 5 = 156 : 3
x - 5 = 52
x = 52 + 5
( x + 1 ) + ( x + 5 ) + ... + ( x + 29 ) = 136
Dãy số trên gồm:( 29 - 1 ) : 4 + 1 = 8 ( số hạng )
Ta có : ( x + 29 + x + 1 ) x 8 : 2 = 136
( x * 2 + 30 ) x 4 = 136
x * 2 + 30 = 136 : 4
x * 2 + 30 = 34
x * 2 = 34 - 30
x * 2 = 4
x = 4 : 2
x = 2
Đây là bài toán lớp 4 chứ không phải là lớp 6
( x - 5 ) * 3 - 140 : 35 = 152
( x - 5 ) * 3 - 4 = 152
( x - 5 ) * 3 = 152 + 4
( x - 5 ) * 3 = 156
x - 5 = 156 : 3
x - 5 = 52
x = 52 + 5
( x + 1 ) + ( x + 5 ) + ... + ( x + 29 ) = 136
Dãy số trên gồm:( 29 - 1 ) : 4 + 1 = 8 ( số hạng )
Ta có : ( x + 29 + x + 1 ) x 8 : 2 = 136
( x * 2 + 30 ) x 4 = 136
x * 2 + 30 = 136 : 4
x * 2 + 30 = 34
x * 2 = 34 - 30
x * 2 = 4
x = 4 : 2
x = 2