c: \(\Leftrightarrow x+16=2\cdot7=14\)

hay x=-2

a) \(58+7x=100\)

\(=>7x=100-58\)

\(=>7x=42\)

\(=>x=42:7\)

\(=>x=6\)

b) \(3x-7=28\)

\(=>3x=28+7\)

\(=>3x=35\)

\(=>x=35:3\)

\(=>x=\dfrac{35}{3}\)

c) \(x-56:4=16\)

\(=>x-14=16\)

\(=>x=16+14\)

\(=>x=30\)

d) \(101+\left(36-4x\right)=105\)

\(=>36-4x=105-101\)

\(=>36-4x=4\)

\(=>4x=36-4\)

\(=>4x=32\)

\(=>x=32:4\)

\(=>x=8\)

e) \(\left(x-12\right):12=12\)

\(=>x-12=12.12\)

\(=>x-12=144\)

\(=>x=144-12\)

\(=>x=132\)

f) \(\left(3x-2^4\right).7^3=2.7^4\)

\(=>3x-2^4=2.7^4:7^3\)

\(=>3x-16=2.7=14\)

\(=>3x=14+16\)

\(=>3x=30\)

\(=>x=30:3\)

\(=>x=10\)

i) \(\left(10+2x\right).4^{2011}=4^{2013}\)

\(=>10+2x=4^{2013}:4^{2011}\)

\(=>10+2x=4^2=16\)

\(=>2x=16-10\)

\(=>2x=6\)

\(=>x=6:2\)

\(=>x=3\)

\(#WendyDang\)

\(\left(5x-24\right).73=2.74\)

\(\Leftrightarrow\left(5x-24\right).73=148\)

\(\Leftrightarrow5x-24=\frac{148}{73}\)

\(\Leftrightarrow5x=\frac{148}{73}+24\)

\(\Leftrightarrow5x=\frac{1900}{73}\)

\(\Leftrightarrow x=\frac{1900}{73}.\frac{1}{5}\)

\(\Leftrightarrow x=\frac{380}{73}\)

bạn k làm ra phân số được không

(5.x-24).73=148

5.x-24=148:73

5.x-24=148/73

5.x=148/73+24

5.x=1900/73

x=1900/73:5

x=1900/73.1/5

x=380/73

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

(3x-2⁴) . 7³   = 2.74

(3x-16). 343 = 148

3x - 16         =148: 343

3x - 16         = \(\frac{148}{343}\)   

3x                = \(\frac{148}{343}\) +16

3x                =\(\frac{4036}{343}\)

x                  = \(\frac{4036}{343}\) : 3

x                  = \(\frac{4036}{1029}\)

Vậy x = \(\frac{4036}{1029}\)

\(10,\Rightarrow x-14=-8\Rightarrow x=6\\ 11,\Rightarrow7-x-32=-25\\ \Rightarrow-25-x=-25\Rightarrow x=0\\ 12,\Rightarrow3x-16=\dfrac{2\cdot7^4}{7^3}=2\cdot7=14\\ \Rightarrow3x=30\Rightarrow x=10\\ 13,\Rightarrow\left[{}\begin{matrix}x-4=5\\x-4=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=9\\x=-1\end{matrix}\right.\\ 14,\Rightarrow\left(2x+11\right)^2=2^4:2^4=1\\ \Rightarrow\left[{}\begin{matrix}2x+11=1\\2x+11=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-5\\x=-6\end{matrix}\right.\\ 15,\Rightarrow7^{3x-2}=7^3\cdot4+7^3\cdot3=7^3\cdot7=7^4\\ \Rightarrow3x-2=4\\ \Rightarrow3x=6\Rightarrow x=2\)

10) x - [42 + (-28)] = -8

x - 14 = -8

x = -8 + 14 = 6

11) (7-x) - (25 +7) = -25

(7 -x) - 32 = -25

7 -x = -25 + 32 = 7

x = 7 -7 = 0

12) (3x - 2⁴) . 7³ = 2 . 7⁴

(3x - 16) . 343 = 4802

3x - 16 = 4802 : 343= 14

3x = 14 + 16 = 30

x = 30 : 3 =10

13) (x - 4)² = 25

⇒ 5² = 25

⇒ x - 4 = 5

⇒ x = 5 + 4 =9

14) 2⁴(2x + 11)² = 4²

16(2x + 11)² = 16

(2x + 11)² = 16 : 16 = 1

⇒ 2x + 11 = 1

⇒ 2x = 11 + 1 = 12

⇒ x = 12 : 2 = 6

15) 7^3x-2 - 3.7³ = 7³ . 4

7^3x-2 - 1029 = 1372

7^3x-2 = 1372 + 1029 = 2401

⇒ 7⁴ = 2401

⇒ 3x - 2 = 4

⇒ 3x = 4 + 2 = 6

⇒ x = 6 : 3 =2