a) 6x + 15 = 75

6x = 75 - 15

6x = 60

x = 60 : 6

x = 10

b) x - 12 = (-27)

x = (-27) + 12

x = -15

c) 23 + (x - 5) : 4 = 3⁸ : 3⁵

23 + (x - 5) : 4 = 3³

23 + (x - 5) : 4 = 27

23 + (x - 5) = 27 x 4

23 + (x - 5) = 108

x - 5 = 108 - 23

x - 5 = 85

x = 85 + 5

x = 90

\(\Leftrightarrow5^{x+5}=24+1=25\)

=>x+5=2

hay x=-3

5\(^{x+5}\)-1=8.3

5\(^{x+5}\)-1=24

5\(^{x+5}\)=25

5\(^{x+5}\)=5\(^2\)

=>x+5=2

=>x=-3

vậy x=-3

\(5^2-\left(5x-3\right)=43\)

\(\Leftrightarrow25-5x+3=43\)

\(\Leftrightarrow5x=-15\)

\(\Leftrightarrow x=-3\)

5² - (5x-3) = 43 

=> 5² - 5x +3 = 43 

=> 5.5-5x = 43 -3 

=> 5.(5-x) = 40 

=> 5-x = 8 

=> x = 5-8 

=> x =( -3 )

Vậy x = (-3)

a: =>|x+3/4|=2+1/5=11/5

=>x+3/4=11/5 hoặc x+3/4=-11/5

=>x=29/20 hoặc x=-59/20

b: (x+1/2)(2/3-2x)=0

=>x+1/2=0 hoặc 2/3-2x=0

=>x=-1/2 hoặc x=1/3

c: =>|2x-1/3|=1/6

=>2x-1/3=1/6 hoặc 2x-1/3=-1/6

=>2x=1/2 hoặc 2x=1/6

=>x=1/4 hoặc x=1/12

e: =>x+2/3=0 hoặc -2x-3/5=0

=>x=-2/3 hoặc x=-3/10

a) 26                  b) 13
c) 36;48;60      d) 5

a) 2.(x+4)+5=65

2.(x+4)=65-5

2.(x+4)=60

x+4=60:2

x+4=30

x=30-4=26

5)

để \(\frac{5x-3}{x+1}\)là số nguyên

\(5x-3⋮x+1\)

\(x+1⋮x+1\)

\(\Rightarrow5\left(x+1\right)⋮x+1\)

\(5x-3-\left(5x-5\right)⋮x+1\)

\(-2⋮x+1\)

\(\Rightarrow x+1\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)

Vậy \(x\in\left\{0;-2;1;-3\right\}\)

a) (x – 45).27 = 0

=>   x -  45  =  0

=>  x  =  45

 b) 23.(42- x) = 23 

=>  42- x  =  1

=>   x  =  41

c. 3x – 5=7

=>  3x  =  12

=>  x  =  4

e. 15 – 5x=10

=>  5x  =  5

=>  x  =  1