\(\left(x+\frac{2}{3}\right)\left(\frac{5}{4}-2x\right)>0\)

th1 : 

\(\hept{\begin{cases}x+\frac{2}{3}>0\\\frac{5}{4}-2x>0\end{cases}\Rightarrow\hept{\begin{cases}x>-\frac{2}{3}\\-2x>-\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x>-\frac{2}{3}\\x>\frac{5}{8}\end{cases}\Rightarrow}x>\frac{5}{8}}\)

th2 : 

\(\hept{\begin{cases}x+\frac{2}{3}< 0\\\frac{5}{4}-2x< 0\end{cases}\Rightarrow\hept{\begin{cases}x< -\frac{2}{3}\\-2x< -\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x< -\frac{2}{3}\\x< \frac{5}{8}\end{cases}\Rightarrow}x< -\frac{2}{3}}\)

vậy_

a,  x - 3 : 2 = 5 14 : 5 12

=>  x - 3 : 2 = 5 2

=>  x - 3 : 2 = 25

=> x – 3 = 25

=> x = 53

b,  30 : x - 7 = 15 19 : 15 18

=>  30 : x - 7 = 15

=> x – 7 = 2

=> x = 9

c,  x 70 = x

=>  x 70 - x = 0

=>  x ( x 69 - 1 ) = 0

=> 

d,  2 x + 1 3 = 9 . 81

=>  2 x + 1 3 = 9 3

=> 2x + 1 = 9

=> x = 4

e,  5 x + 5 x + 2 = 650

=>  5 x 1 + 5 2 = 650

=>  5 x . 26 = 650

=>  5 x = 25

=> x = 2

f,  4 x - 1 2 = 25 . 9

=> 4 x - 1 2 = 5 2 . 3 2

=>  4 x - 1 2 = 15 2

=> 4x – 1 = 15

=> x = 4

\(\Leftrightarrow8x+1440=x\)

=>7x=-1440

hay x=-1440/7

x=20

\(70:\dfrac{4x+720}{x}=\dfrac{1}{2}\)

\(\Rightarrow\dfrac{4x+720}{x}=70:\dfrac{1}{2}=140\)

\(\Rightarrow4x+720=140.x\)

\(\Rightarrow720=36.x\)

\(\Rightarrow720:36=x\)

\(\Rightarrow x=20\)

Đk : x khác 0 

=> 35/2x + 720/x = 1/2

=> 35+1440/2x = 1/2

=> 1475/2x = 1/2

=> 1475 = 1/2 . 2x = x

Vậy x = 1475

k mk nha

X=1475

a) \(\left[\left(4x+28\right).3+55\right]:5=35\)

\(\Leftrightarrow\left(4x+28\right).3+55=35.5\)

\(\Leftrightarrow\left(4x+28\right).3+55=175\)

\(\Leftrightarrow\left(4x+28\right).3=175-55\)

\(\Leftrightarrow\left(4x+28\right).3=120\)

\(\Leftrightarrow4x+28=120:3\)

\(\Leftrightarrow4x+28=40\)

\(\Leftrightarrow4x=40-28\)

\(\Leftrightarrow4x=12\)

\(\Leftrightarrow x=12:4\)

\(\Leftrightarrow x=3\)

Vậy \(x=3\)

b) \(\left(12x-4^3\right).8^3=4.8^4\)

\(\Leftrightarrow12x-4^3=4.8^4:8^3\)

\(\Leftrightarrow12x-4^3=4.8^{4-3}\)

\(\Leftrightarrow12x-4^3=4.8\)

\(\Leftrightarrow12x-4^3=32\)

\(\Leftrightarrow12x-64=32\)

\(\Leftrightarrow12x=32+64\)

\(\Leftrightarrow12x=96\)

\(\Leftrightarrow x=96:12\)

\(\Leftrightarrow x=8\)

Vậy \(x=8\)

c) \(720:\left[41-\left(2x-5\right)\right]=2^3.5\)

\(\Leftrightarrow720:\left[41-\left(2x-5\right)\right]=8.5\)

\(\Leftrightarrow720:\left[41-\left(2x-5\right)\right]=40\)

\(\Leftrightarrow41-\left(2x-5\right)=720:40\)

\(\Leftrightarrow41-\left(2x-5\right)=18\)

\(\Leftrightarrow2x-5=41-18\)

\(\Leftrightarrow2x-5=23\)

\(\Leftrightarrow2x=23+5\)

\(\Leftrightarrow2x=28\)

\(\Leftrightarrow x=28:2\)

\(\Leftrightarrow x=14\)

Vậy \(x=14\)