a) \(2x-\frac{2}{3}-7x=\frac{3}{2}-1\\ 2x-7x-\frac{2}{3}=\frac{1}{2}\\ -5x=\frac{1}{2}+\frac{2}{3}\\ -5x=\frac{7}{6}\\ x=\frac{7}{6}:\left(-5\right)\\ x=\frac{-7}{30}\)Vậy \(x=\frac{-7}{30}\)

b) \(\frac{3}{2}x-\frac{2}{5}=\frac{1}{3}x-\frac{1}{4}\\ \frac{3}{2}x-\frac{1}{3}x=\frac{2}{5}-\frac{1}{4}\\ \frac{7}{6}x=\frac{3}{20}\\ x=\frac{3}{20}:\frac{7}{6}\\ x=\frac{9}{70}\)Vậy \(x=\frac{9}{70}\)

c) \(\frac{2}{3}-\frac{5}{3}x=\frac{7}{10}x+\frac{5}{6}\\ \frac{2}{3}-\frac{5}{6}=\frac{7}{10}x+\frac{5}{3}x\\ \frac{-1}{6}=\frac{71}{30}x\\ x=\frac{-1}{6}:\frac{71}{30}\\ x=\frac{-5}{71}\)Vậy \(x=\frac{-5}{71}\)

d) \(2x-\frac{1}{4}=\frac{5}{6}-\frac{1}{2}x\\ 2x+\frac{1}{2}x=\frac{5}{6}+\frac{1}{4}\\ \frac{5}{2}x=\frac{13}{12}\\ x=\frac{13}{12}:\frac{5}{2}\\ x=\frac{13}{30}\)Vậy \(x=\frac{13}{30}\)

e) \(3x-\frac{5}{3}=x-\frac{1}{4}\\ 3x-x=\frac{5}{3}-\frac{1}{4}\\ 2x=\frac{17}{12}\\ x=\frac{17}{12}:2\\ x=\frac{17}{24}\)Vậy \(x=\frac{17}{24}\)

Èo, chăm thế? Chăm hơn cả mik cơ, gần 11 h rồi onl thì thấy bài được bạn HISI làm hết rồi :((

Câu a:

\(\frac{x+5}{x+9}\) = \(\frac{x+4}{x+3}\)

(\(x\) + 5)(\(x+3\)) = (\(x+4\))(\(x+9\))

\(x^2\) + 3\(x\) + 5\(x\) + 15 = \(x^2\) + 9\(x\) + 4\(x\) + 36

\(x^2+3x+5x\) - \(x^2-9x\) - 4\(x\) = 36 - 15

(\(x^2-x^2\)) + (\(3x+5x\) - 9\(x-4x\)) = 21

0 + (8\(x\) - 9\(x\) - 4\(x\)) = 21

-\(x-4x\) = 21

-5\(x\) = 21

\(x\) = 21 : (-5)

\(x\) = - \(\frac{21}{5}\)

Vậy \(x=-\frac{21}{5}\)

Câu a:

(1/5 - 3/4).x - 1,52 = - 0,48

(4/20 - 15/20)x = -0,48 + 1,52

- 11/20x = 1,04

x = 1,04 : (-11/20)

x = - 104/55

Vậy x = - 104/55

Câu b:

|x - 2| - 1,5x = 3/4 + 5/4x -25/7

|x -2| = 5/4x + 1,5x + 3/4

|x -2| = 1,25x + 1,5x + 0,75

|x -2| = 2,75x + 0,75

|x -2| ≥ 0 ∀ x

⇒ 2,75x + 0,75 ≥ 0

2,75x ≥ - 0,75

x ≥ - 0,75 : 2,75

x ≥ -3/11

Với x ≥ -3/11 ta có:

|x - 2| = 2,75x + 0,75

x - 2 = 2,75x + 0,75 hoặc x - 2 = - 2,75x - 0,75

Th1:

x - 2 = 2,75x + 0,75

2,75x - x = - 2 - 0,75

1,75x = - 2,75

x = -2,75 : 1,75

x = - 11/7 < -3/7 (tm)

Th2:

x - 2 = - 2,75x - 0,75

x + 2,75x = 2 - 0,75

3,75x = 1,25

x = 1,75 : 3,75

x = 1/3 (ktm)

Vậy x = -11/7

X : \(3\frac{1}{15}\)=\(1\frac{1}{2}\)

X : \(\frac{46}{15}\)=\(\frac{3}{2}\)

X =  \(\frac{3}{2}\)X \(\frac{46}{15}\)

X = \(\frac{23}{5}\)

#)Giải :

\(x\div3\frac{1}{5}=1\frac{1}{2}\)

\(\Leftrightarrow x\div\frac{16}{5}=\frac{3}{2}\)

\(\Leftrightarrow x=\frac{24}{5}\)hay \(4\frac{4}{5}\)

\(\frac{2}{3}x-\frac{1}{2}x=\frac{5}{12}\)

\(\Leftrightarrow\left(\frac{2}{3}-\frac{1}{2}\right)x=\frac{5}{12}\)

\(\Leftrightarrow\frac{1}{6}x=\frac{5}{12}\)

\(\Leftrightarrow x=\frac{5}{2}\)