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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.  x + (-45) = (-62 ) + 17

b.  x + 29 = /-43/ + (-43)

c.  43 + (9 - 21) = 317 - ( x +317)

d.  (15 - x ) + ( x - 12 ) = 7 - ( -5 + x )

e.  x - { 57 - [ 42 + ( -23 - x ) ] } = 13 - { 47 + [ 25 - ( 32 - x ) ] }

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

c, \(x\) - [ 42 + (-28)] = - 8

    \(x\) - [ 42 - 28] = -8

     \(x\) - 14 = - 8

      \(x\)        = - 8 + 14

      \(x\)       = 6

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) \(\Rightarrow7^{x+3}=7^{31}\)

\(\Rightarrow x+3=31\Rightarrow x=28\)

a.x=127

b x=5

c x=7^28

2² + 4² + 6² + ... + 16² + 18²

= 4.(1 + 2² + 3² + ... + 8² + 9²)

= 4.285

= 1140

= 285 nha mình ghi nhầm thành 385

q=2²+4²+6²+...+18²

q= 1².2²+2².2²+3².2²+...+9².2²

q= 2².(1²+2²+3²+...+9²)

q= 2².285=4.285=1140

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

3) 

a) 10 + 2x = 49 : 47

10 + 2x = 49/47

2x = 49/47 - 10

2x = -421/47

x = -421/47 : 2

x = -421/94

b) 70 - 5(x - 3) = 45

5(x - 3) = 70 - 45

5(x - 3) = 25

x - 3 = 25 : 5

x - 3 = 5

x = 5 + 3

x = 8

c) 4 + 95 : x = 143 : 142 - 23

4 + 95 : x = -3123/142

95 : x = -3123/142 - 4

95 : x = -3691/142

x = 95 : (-3691/142)

x = -13490/3691