\(x\times\dfrac{2}{3}=\dfrac{4}{9}\times\dfrac{3}{8}=\dfrac{1}{6}\)

\(x=\dfrac{1}{6}:\dfrac{2}{3}=\dfrac{1}{4}\)

`x xx2/3=4/9xx3/8`

`x xx2/3=1/6`

`x=1/6:2/3`

`x=1/6xx3/2`

`x=1/4`

DKXD : x khac -1

\(\frac{-x}{x+1}\)+ 3 =\(\frac{2x+3}{x+1}\)

<=> \(\frac{-x}{x+1}\)+\(\frac{3\left(x+1\right)}{x+1}\)= \(\frac{2x+3}{x+1}\)

=>   -x + 3x +3 = 2x +3

<=> 2x -2x =3-3

<=>  0x=0

<=> x=0(TMDK)

a) 2 + 1/3 - x = 1 + 1/4

7/3 -x = 5/4

x = 7/3 - 5/4

x = 13/12

b) (2/7 x 2) : x = 1 :7/2 

4/7 : x = 2/7

x = 4/7 : 2/7

x = 2

a) 2 + 1/3 - x = 1 + 1/4

           7/3 -x = 5/4

                  x = 7/3 - 5/4

                  x = 13/12

b) (2/7 x 2) : x = 1 :7/2 

          4/7 : x = 2/7

                  x = 4/7 : 2/7

                  x = 2

16:Sửa đề: \(\frac12x+\frac16\left(x-2\right)=\frac34-2x\)

=>\(\frac12x+\frac16x-\frac26=\frac34-2x\)

=>\(\frac46x-\frac13=\frac34-2x\)

=>\(\frac23x+2x=\frac34+\frac13\)

=>\(\frac83x=\frac{9}{12}+\frac{4}{12}=\frac{13}{12}\)

=>\(x=\frac{13}{12}:\frac83=\frac{13}{12}\times\frac38=\frac{13}{4\times8}=\frac{13}{32}\)

19: \(\frac{5}{12}x+3=\frac13-\frac{7}{12}x\)

=>\(\frac{5}{12}x+\frac{7}{12}x=\frac13-3\)

=>\(\frac{12}{12}x=\frac13-\frac93=-\frac83\)

=>\(x=-\frac83\)

20: \(\frac12x+\frac52=\frac72x-\frac34\)

=>\(\frac12x-\frac72x=-\frac34-\frac52\)

=>\(-3x=-\frac34-\frac{10}{4}=-\frac{13}{4}\)

=>\(3x=\frac{13}{4}\)

=>\(x=\frac{13}{4}:3=\frac{13}{12}\)

2 (x-1) - 5 (x+2) = -10

2x-2 - 5x+10 = -10

2x-5x-2+10=-10

2x-5x=-10-10+2

-3x=-18

x=6

a) Ta có:

\(A\left(x\right)=x^3-30x^2-31x+1\)

\(A\left(x\right)=x^3-31x^2+x^2-31x+1\)

\(A\left(x\right)=\left(x^3-31x^2\right)+\left(x^2-31x\right)+1\)

\(A\left(x\right)=x^2.\left(x-31\right)+x.\left(x-31\right)+1\)

\(A\left(x\right)=\left(x-31\right).\left(x^2+x\right)+1\)

+ Thay \(x=31\) vào biểu thức \(A\left(x\right)\) ta được:

\(A\left(x\right)=\left(31-31\right).\left(31^2+31\right)+1\)

\(A\left(x\right)=0.992+1\)

\(A\left(x\right)=0+1\)

\(A\left(x\right)=1.\)

Vậy giá trị của biểu thức \(A\left(x\right)\) là \(1\) tại \(x=31.\)