\(-8:\left(4\frac{1}{5}x+\frac{3}{10}\right)=4\frac{4}{9}\)

\(\Rightarrow-8:\left(\frac{21}{5}x+\frac{31}{10}\right)=\frac{40}{9}\)

\(\Rightarrow\left(\frac{21}{5}x+\frac{31}{10}\right)=-8:\frac{40}{9}\)

\(\Rightarrow\left(\frac{21}{5}x+\frac{31}{10}\right)=-8.\frac{9}{40}\)

\(\Rightarrow\left(\frac{21}{5}x+\frac{31}{10}\right)=-\frac{9}{5}\)

\(\Rightarrow\frac{21}{5}x=-\frac{9}{5}-\frac{31}{10}\)

\(\Rightarrow\frac{21}{5}x=-\frac{18}{10}-\frac{31}{10}\)

\(\Rightarrow\frac{21}{5}x=\frac{-49}{10}\)

\(\Rightarrow x=-\frac{49}{10}:\frac{21}{5}\)

\(\Rightarrow x=\frac{-49}{10}.\frac{5}{21}\)

\(\Rightarrow x=-\frac{7}{6}\)

Chúc bạn học tốt !!! 

\(x=\frac{-7}{6}\)

Chúc bạn học tốt !

Bạn hỏa Long cho mình hỏi 3/10 sao  bạn ghi 31/10;

a)4(x+2)-7(2x-1)+9(3x-4)=30                                                     b)2(5x-8)-3(4x-5)=4(3x-4)+11

<=>4x+8-14x+7+27x-36=30                                            <=>10x-16-12x+15=12x-16+11

<=>17x-21=30                                                                    <=>  -14x=-4     <=>x=2/7

<=>17x=51

<=>x=3 

phần cvaf d đâu bạn ơi

phần c  hình như có vấn đề

d)(5x-3).4x-2x(10x-3)=15

<=>20x²-12x-20x²+6x=15

<=>   -6x=15

<=>x=-15/6

tách ra

\(1\)) \(5-\left(10-x\right)=7\)
\(10-x=5-7\)
\(10-x=-2\)
\(x=10-\left(-2\right)\)
\(x=12\)

\(2\)) \(-32-\left(x-5\right)=0\)
\(x-5=-32-0\)
\(x-5=-32\)
\(x=-32+5\)
\(x=-27\)

1)10-x=5-7

x=10-(-2)

x=12

2)x+5=0+32

x=32-5

x=27

3) -12+2x-9+x=0

-12+(2x+x-9)=0

3x-9=0+12

3x=12+9

x=21:3

x=7

4) 15-x=1-11

x=15-(-10)

x=25

5) 4-(27+3)=x-9

4-30=x-9

-26+9=x

x=-17

ta có 

a. (5x-7)(x-9)-(-x+3)(-5x+2)= 2x(x-4)-(x-1)(2x+3)

\(\Leftrightarrow5x^2-52x+63-\left(5x^2-17x+6\right)=2x^2-8x-\left(2x^2+x-3\right)\)

\(\Leftrightarrow-35x+57=-9x+3\Leftrightarrow26x=54\Leftrightarrow x=\frac{27}{13}\)

b. (x-3)(-x+10)+(x-8)(x+3)= (5x^2-1)(x+3)-5x^3-15x^2

\(\Leftrightarrow-x^2+13x-30+x^2-5x-24=5x^3+15x^2-x-3-5x^3-15x^2\)

\(\Leftrightarrow8x-54=-x-3\Leftrightarrow9x=51\Leftrightarrow x=\frac{17}{3}\)

A. \(4\left(x+2\right)-7\left(2x-1\right)+9\left(3x-4\right)=30\)
\(\Leftrightarrow4x+8-14x+7+27x-36=30\)
\(\Leftrightarrow4x-14x+27x=30-8-7+36\)
\(\Leftrightarrow17x=51\)
\(\Leftrightarrow x=3\) . Vậy \(S=\left\{3\right\}\)

B. \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\)
\(\Leftrightarrow10x-16-12x+15=12x-16+11\)
\(\Leftrightarrow10x-12x-12x=16-15-16+11\)
\(\Leftrightarrow10x=-4\)
\(\Leftrightarrow x=-\dfrac{2}{5}\) . Vậy \(S=\left\{-\dfrac{2}{5}\right\}\)

Câu C) bạn xem lại đề nha mik tính ko đc

D. \(\left(5x-3\right)4x-2x\left(10x-3\right)=15\)
\(\Leftrightarrow20x^2-12x-20x^2+6x=15\)
\(\Leftrightarrow-6x=15\)
\(\Leftrightarrow x=-\dfrac{5}{2}\) . Vậy \(S=\left\{-\dfrac{5}{2}\right\}\)

1, \(\left(x-4\right)^2-\left(2x+1\right)^2=\left(x-4-2x-1\right)\left(x-4+2x+1\right)=-3\left(x+5\right)\left(x-1\right).\)

\(\orbr{\begin{cases}x+5=0\\x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-5\\x=1\end{cases}}}\)(mấy cái này áp dụng hàng đẳng thức lớp 8 mới hok)

2,\(x^3+x^2-4x-4=\left(x-2\right)\left(x^2+3x+2\right)=\left(x-2\right)\left(x+1\right)\left(x+2\right)\)

\(\orbr{\begin{cases}x=\mp2\\\end{cases}}x=-1\)

tương tụ lm tiếp nhe buồn ngủ quá rồi !