a) \(\frac{2}{5}-\frac{2}{5}x+\frac{1}{3}=x-\frac{7}{15}\)

\(\Leftrightarrow\frac{11}{15}-\frac{2x}{5}=x-\frac{7}{15}\)

\(\Leftrightarrow\frac{2x}{5}=x-\frac{7}{15}-\frac{11}{15}\)

\(\Leftrightarrow-\frac{2x}{5}=x-\frac{5}{6}\)

\(\Leftrightarrow-\frac{2x}{5}=x.5-\frac{5}{6}.5\)

\(\Leftrightarrow-2x=5x-6\)

\(\Leftrightarrow-2x=-5x-6-5x\)

\(\Leftrightarrow-7x=-6\)

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

( x - 1/2 ) : 3/11 =11/4

 x - 1/2  = 11/4 x 3/11

 x - 1/2  = 3/4

         x = 3/4 + 1/2

         x = 5/4

Vậy x = 5/4

(2x + 3/8 ) . 7/4 =-21/32

2x + 3/8 = -21/32 : 7/4

2x + 3/8 = -3/8

         2x = -3/8 - 3/8

         2x = -3/4

           x = -3/4 : 2

           x = -3/8

Vậy x = -3/8

x - x/3 = 3/57 : 12/19

<=> x - x/3 = 1/19

<=> 2x/3 = 1/19

<=> 2X x 19 = 1 x 3

<=> 2X x 19 = 3

<=> 2x = 3/19

<=> x = 3/38

Vậy x = 3/38

\(7:\frac{5.8.x-57}{19+3}=7.\frac{22}{40x-57}=1775\)

<=> \(\frac{154}{40x-57}=1775=>x=\frac{154+1775.57}{40}\)

A = ( -4/5 + 4/3 ) + (-5/4 + 14/5) - 7/3

  =   8/15 + 31/20 - 7/3

  =  25/12 - 7/3

  = -1/4

B = 8/3 x 2/5 x 3/8 x 10x 19/92

   = 16/15 x 15/4 x 19/92

   = 4x19/92

   = 19/23

C = - \(\dfrac{5}{7}\) x \(\dfrac{2}{11}\) + \(\dfrac{-5}{7}\) x \(\dfrac{9}{14}\) + \(\dfrac{1}{57}\)

   = - \(\dfrac{10}{77}\) - \(\dfrac{45}{98}\) + \(\dfrac{1}{57}\)

  = - \(\dfrac{635}{1078}\) + \(\dfrac{1}{57}\)

 = - \(\dfrac{36195}{61446}\) + \(\dfrac{1078}{61446}\)

 = - \(\dfrac{35117}{61446}\)

D = \(\dfrac{12}{19}\) x \(\dfrac{7}{15}\) x \(\dfrac{-13}{17}\) x \(\dfrac{19}{12}\)  x \(\dfrac{17}{13}\)

D =  (\(\dfrac{12}{19}\) x \(\dfrac{19}{12}\)) x (- \(\dfrac{13}{17}\) x \(\dfrac{17}{13}\)) x \(\dfrac{7}{15}\)

D =   1  x  (- 1) x \(\dfrac{7}{15}\)

D = -1 x \(\dfrac{7}{15}\)

D = - \(\dfrac{7}{15}\)

a) (x.7 + 8) : 5 = 10

x.7 + 8 = 10.5

x.7 + 8 = 50

x.7 = 50 - 8

x.7 = 42

x = 42 : 7

x = 6

b) (x + 5).19 : 13 = 57

(x + 5).19 = 57 . 13

(x + 5).19 = 741

x + 5 = 741 : 19

x + 5 = 39

x = 39 - 5

x = 34

c) 4.(36 - 4.x) = 64

36 - 4x = 64 : 4

36 - 4x = 16

4x = 36 - 16

4x = 20

x = 20 : 4

x = 5

d) 7,6 : 19 . x = 3,2

0,4 . x = 3,2

x = 3,2 : 0,4

x = 8

e) (x : 2 + 50) : 5 = 12

x : 2 + 50 = 12 . 5

x : 2 + 50 = 60

x : 2 = 60 - 50

x : 2 = 10

x = 10 . 2

x = 20

g) 280 : (17 + 3.x) = 4

17 + 3x = 280 : 4

17 + 3x = 70

3x = 70 - 17

3x = 53

x = 53/3

h) 6.(28 - 8.x) = 72

28 - 8x = 72 : 6

28 - 8x = 12

8x = 28 - 12

8x = 16

x = 16 : 8

x = 2

i) (x - 15) : 3 : 12 = 6

(x - 15) : 3 = 6 . 12

(x - 15) : 3 = 72

x - 15 = 72 . 3

x - 15 = 216

x = 216 + 15

x = 231

\(x-\frac{x}{3}=\frac{3}{57}:\frac{12}{19}\)

\(x-\frac{x}{3}=\frac{3}{57}\times\frac{19}{12}\)

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

\(\Rightarrow12x-4x=1\)

\(\Rightarrow8x=1\)

\(\Rightarrow x=\frac{1}{8}\)

Ta có \(\dfrac{x}{19}=\dfrac{3xx}{19x3}=\dfrac{3x}{57x}\)

Lại có: \(\dfrac{x}{19}< \dfrac{12}{57}\)\(\Leftrightarrow\dfrac{3x}{57}< \dfrac{12}{57}\)\(\Leftrightarrow3x< 12\Leftrightarrow x=\left\{0;1;2;3\right\}\)

P/s Nhớ tick cho mình nha. Thanks bạn