1) \(\dfrac{1}{4}x-\dfrac{1}{3}=\dfrac{-5}{9}\)

\(\Rightarrow\dfrac{1}{4}x=-\dfrac{2}{9}\Rightarrow x=-\dfrac{8}{9}\)

2) \(2^{x-3}-3.2^x=-92\)

\(\Rightarrow2^x\left(2^{-3}-3\right)=-92\)

\(\Rightarrow2^x.\dfrac{-23}{9}=-92\)

\(\Rightarrow2^x=32\Rightarrow x=5\)

a: =>33+x=71-36=35

=>x=2

b: =>(2x+6)=200-64=136

=>2x=130

=>x=65

c: =>x-19=76

=>x=95

e: =>x+9=39

=>x=30

f: =>x-8=20

=>x=28

g: =>2x=5*9+49=45+49=94

=>x=47

a) x = 3

b) x = 93

c) x = 365

d) 15570

e) 218

g) 8554

a) 25 - (3 * x - 4) - 2 = 18            b) 256 - ( x + 71 ) = 92         c) ( x - 45 ) - 320 = 0      

25 - (3 * x - 4) = 18 + 2                  x + 71 = 256 - 92                  x - 45 = 0 + 320

25 - (3 * x - 4) = 20                       x + 71 = 164                         x - 45 = 320

3 * x - 4 = 5                                 x = 164 - 71                          x = 320 + 45

3 * x = 5 + 4                                x = 93                                  x = 365

3 * x = 9

x = 9 : 3

x = 3

d) x : 45 = 346            e) 3270 : x = 15

x = 346 . 45                   x = 3270 : 15

x = 15570                      x = 218

nhớ ủng hộ mik nghen

\(x\cdot\frac{22}{9}=\frac{22}{5}-\frac{11}{7}\)

\(x\cdot\frac{22}{9}=\frac{99}{35}\)

\(x=\frac{99}{35}:\frac{22}{9}\)

\(x=\frac{81}{70}\)

Vậy \(x=\frac{81}{70}\).

\(x:\frac{56}{5}=\frac{26}{5}+\frac{52}{5}\)

\(x:\frac{56}{5}=\frac{78}{5}\)

\(x=\frac{78}{5}\cdot\frac{56}{5}\)

\(x=\frac{4368}{25}\)

Vậy \(x=\frac{4368}{25}\).

\(x:\frac{19}{3}=4\)

\(x=4\cdot\frac{19}{3}\)

\(x=\frac{76}{3}\)

Vậy \(x=\frac{76}{3}\).

75 - 4 . ( x + 1 ) = 71

 4x + 4 = 4

4x = 0

=> x = 0

2^x . 2⁵ = 64

2^x . 2⁵ = 2⁷

=> x + 5 = 7

=> x = 2

9^{x - 1} = 9

=> 9^{x - 1} = 9¹

=> x - 1 = 1 => x = 2

a) \(pt< =>x^3-3.x^2.3+3.x.9-27-\left(x^3-27\right)+9\left(x^2+2x+1\right)=4\)

\(< =>x^3-27-x^3+27-9x^2+27x+9x^2+18x+9=4\)

\(< =>45x=4-9=-5< =>x=-\frac{5}{45}=-\frac{1}{9}\)

b) \(pt< =>x\left(x^2-25\right)-\left(x^3+8\right)=17\)

\(< =>x^3-25x-x^3-8=17< =>25x=-8-17=-25< =>x=-1\)

a) ( x - 3 )³ - ( x - 3 )( x² + 3x + 9 ) + 9( x + 1 )² = 4

<=> x³ - 9x² + 27x - 27 - ( x³ - 27 ) + 9( x² + 2x + 1 ) = 4

<=> x³ - 9x² + 27x - 27 - x³ + 27 + 9x² + 18x + 9 = 4

<=> 45x + 9 = 4

<=> 45x = -5

<=> x = -5/45 = -1/9

b) x( x - 5 )( x + 5 ) - ( x + 2 )( x² - 2x + 4 ) = 17

<=> x( x² - 25 ) - ( x³ + 2³ ) = 17

<=> x³ - 25x - x³ - 8 = 17

<=> -25x - 8 = 17

<=> -25x = 25

<=> x = -1

a: =>|7x-9|=5x-3

\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{3}{5}\\\left(7x-9-5x+3\right)\left(7x-9+5x-3\right)=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{3}{5}\\\left(2x-6\right)\left(12x-12\right)=0\end{matrix}\right.\Leftrightarrow x\in\left\{3;1\right\}\)

b: =>|17x-5|=|17x+5|

=>17x-5=17x+5(vô lý) hoặc 17x-5=-17x-5

=>34x=0

hay x=0

c: =>|3x+4|=|4x-18|

=>4x-18=3x+4 hoặc 4x-18=-3x-4

=>x=22 hoặc 7x=14

=>x=22 hoặc x=2