a)142.42 - (7.52 + 4.x) = (43.157):42
b)[(7x + 23) : 62 - 522] :29 = 182
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a,x+(-45)=(-62)+17
<=>x=(-62)+17+45
<=>x=0
b,x+29=\(|-43|\)-+(-43)
<=>x=43-43-29
<=>x=-29
c,43+(9-21)=317-(x+317)
<=>31=317-x-317
<=>31=-x
<=>-31=x
d, (15-x)+(x-12)=7-(-5-x)
<=>15-x+x-12=7+5+x
<=>3=12+x
<=>-9=x
e, x-{57-[42+(-23-x)]}=13-{47+[25-(32-x)]}
<=>x-57+42-23-x=13-47-25+32-x
<=>76=-27-x
<=>103=-x
<=>-103=x
f,\(|x|+|-4|=7\)
<=>\(|x|\)+4=7
<=>\(|x|\)=3
<=>x=3 hoặc x=-3
A, 89 -(73-x)=20
=> 73 - x = 89 - 20
=> 73 - x = 69
=> x = 73 - 69
=> x = 4
B, 7x - 2x = 617:615 + 44:11
=> ( 7 - 2 ) x = 36 + 4
=> 5x = 40
=> x = 8
C, x - [ 42+(-28)]=-8
=> x - 14 = - 8
=> x = - 8 + 14
=> x = 6
D, 62 - (2x-3):3=23
=> ( 2x - 3 ) : 3 = 62 - 23
=> ( 2x - 3 ) : 3 = 39
=> 2x - 3 = 117
=> 2x = 120
=> x = 60
E, 4(x-3)=72 - 110
=> 4 ( x - 3 ) = 49 - 1
=> 4 ( x - 3 ) = 48
=> x - 3 = 12
=> x = 15
a, 89 - (73 - \(x\)) = 20
73 - \(x\) = 89 - 20
73 - \(x\) = 69
\(x\) = 73 - 69
\(x\) = 4
b, 7\(x\) - 2\(x\) = 617:615 + 44:11
5\(x\) = 62 + 4
5\(x\) = 36 + 4
5\(x\) = 40
\(x\) = 40: 5
\(x\) = 8
a) \(142\cdot4^2-\left(7\cdot5^2+4x\right)=\left(4^3\cdot157\right):4^2\)
\(\Leftrightarrow142\cdot16-\left(7\cdot25+4x\right)=\left(64\cdot157\right):16\)
\(\Leftrightarrow2272-\left(175+4x\right)=10048:16\)
\(\Leftrightarrow2272-145-4x=628\)
\(\Leftrightarrow2097-4x=628\)
\(\Leftrightarrow-4x=-1469\)
\(\Leftrightarrow x=\dfrac{1469}{4}\)
Vậy \(x=\dfrac{1469}{4}\)
b) \(\left[\left(7x+23\right):6^2-5^2\right]:29=18^2\)
\(\Leftrightarrow\left(\dfrac{7x+23}{6^2}-25\right)\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\left(\dfrac{7x+23}{36}-25\right)\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x+23-900}{36}\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x-877}{36}\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x-877}{1044}=18\)
\(\Leftrightarrow7x-877=18792\)
\(\Leftrightarrow7x=18792+877\)
\(\Leftrightarrow7x=19669\)
\(\Leftrightarrow x=\dfrac{19669}{7}\)
\(a,\Rightarrow x=150-23=127\\ b,\Rightarrow300:x=42+18=60\\ \Rightarrow x=300:60=5\\ c,\Rightarrow7^{x+3}=7^{23+8}=7^{31}\\ \Rightarrow x+3=31\Rightarrow x=28 \)
a) \(\Rightarrow x=150-23\)
\(\Rightarrow x=127\)
b) \(\Rightarrow300:x=60\)
\(\Rightarrow x=5\)
c) \(\Rightarrow7^{x+3}=7^{31}\)
\(\Rightarrow x+3=31\Rightarrow x=28\)
2² + 4² + 6² + ... + 16² + 18²
= 4.(1 + 2² + 3² + ... + 8² + 9²)
= 4.285
= 1140
a: \(\Leftrightarrow142\cdot16-7\cdot25-4x=4\cdot157\)
\(\Leftrightarrow2097-4x=628\)
=>4x=1469
hay x=1469/4
b: \(\Leftrightarrow\left[\left(7x+23\right):36-2704\right]=324\cdot29=9396\)
\(\Leftrightarrow\left(7x+23\right):36=12100\)
=>7x+23=435600
=>7x=435577
hay x=435577/7
1)
a) 2x + 5 = 3⁴ : 3²
2x + 5 = 3²
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 4 : 2
x = 2
b) (3x - 24).73 = 2.74
(3x - 24).73 = 148
3x - 24 = 148/73
3x = 148/73 + 24
3x = 1900/73
x = 1900/73 : 3
x = 1900/219
c) [3.(42 - x)] + 15 = 23.3
126 - 3x + 15 = 69
141 - 3x = 69
3x = 141 - 69
3x = 72
x = 72 : 3
x = 24
d) 126 + (132 - x) = 300
132 - x = 300 - 126
132 - x = 174
x = 132 - 174
x = -42
2)
a) 120 - (x + 55) = 60
x + 55 = 120 - 60
x + 155 = 60
x = 60 - 55
x = 5
b) (7x - 11).3 = 25.52 + 200
(7x - 11).3 = 1500
7x - 11 = 1500 : 3
7x - 11 = 500
7x = 500 + 11
7x = 511
x = 511 : 7
x = 73
c) 2x + 2x + 4 = 544
4x = 544 - 4
4x = 540
x = 540 : 4
x = 135