Bài 1:

a) \(\dfrac{9}{20}-\dfrac{8}{15}\times\dfrac{5}{12}\)

\(=\dfrac{9}{20}-\dfrac{2}{9}\)

\(=\dfrac{41}{180}\)

b) \(\dfrac{2}{3}\div\dfrac{4}{5}\div\dfrac{7}{12}\)

\(=\dfrac{2}{3}\times\dfrac{5}{4}\times\dfrac{12}{7}\)

\(=\dfrac{5}{6}\times\dfrac{12}{7}\)

\(=\dfrac{10}{7}\)

c) \(\dfrac{7}{9}\times\dfrac{1}{3}+\dfrac{7}{9}\times\dfrac{2}{3}\)

\(=\dfrac{7}{9}\times\left(\dfrac{1}{3}+\dfrac{2}{3}\right)\)

\(=\dfrac{7}{9}\times1\)

\(=\dfrac{7}{9}\)

Bài 2:

a) \(2\times\left(x-1\right)=4026\)

\(\left(x-1\right)=4026\div2\)

\(x-1=2013\)

\(x=2014\)

Vậy: \(x=2014\)

b) \(x\times3,7+6,3\times x=320\)

\(x\times\left(3,7+6,3\right)=320\)

\(x\times10=320\)

\(x=320\div10\)

\(x=32\)

Vậy: \(x=32\)

c) \(0,25\times3< 3< 1,02\)

\(\Leftrightarrow0,75< 3< 1,02\) ( S )

=> \(0,75< 1,02< 3\)

a )  x + 5/12 = -2/3

=>  x = -2/3 - 5/12

=>  x = -8/12 - 5/12

=>  x = -13/12 

b ) 4/5 + 3/4 : x = 1/2

=>         3/4 : x  = 1/2 - 4/5

=>         3/4 : x  =   5/10 - 8/10

=>         3/4 : x  =     -3/10

=>                x   =     3/4 : -3/10

=>                x   =      -5/2 

c ) x/2 + x/3 = 1/4

=>   3x/6 + 2x/6   = 1/4

=>   ( 3x + 2x )/6  = 1/4

=>         5x/6        = 1/4

=>         20x/24     = 6/24

=>           20x        = 6

=>               x        = 6 : 20

=>               x        = 0 , 3

Chúc bạn học giỏi !!! 

1.8100

2. 34 x 18 + 18 x 66

= 18 x ( 34 + 66)

= 18 x 100 = 1800

3. X × ( 8 +  12) =  160 + 20 × 12

= X x 20 = 160 + 240

= X x 20 = 400

X = 400 : 20 = 20

4. X x 12 - X x 2 = 2020

(12 - 2) x X = 2020

10 x X = 2020

X = 2020 : 10 = 202

1.8100

2. 34 x 18 + 18 x 66

= 18 x ( 34 + 66)

= 18 x 100 = 1800

3. X × ( 8 +  12) =  160 + 20 × 12

= X x 20 = 160 + 240

= X x 20 = 400

X = 400 : 20 = 20

4. X x 12 - X x 2 = 2020

(12 - 2) x X = 2020

10 x X = 2020

X = 2020 : 10 = 202

1) 2(x + 5) + 3(x + 7) = 41
2x + 10 + 3x + 21 = 41
5x + 31 = 41
5x = 10
x = 2
6) 7(x - 1) + 5(3 - x) = 11x - 10
7x - 7 + 15 - 5x = 11x - 10
2x + 8 = 11x - 10
-9x = -18
x = 2

2) 5(x + 6) + 2(x - 3) = 38
5x + 30 + 2x - 6 = 38
7x + 24 = 38
7x = 14
x = 2

7) 4(2 + x) + 3(x - 2) = 12
8 + 4x + 3x - 6 = 12
7x + 2 = 12
7x = 10
x = 10/7

3) 7(5 + x) + 2(x - 10) = 15
35 + 7x + 2x - 20 = 15
9x + 15 = 15
9x = 0
x = 0

8) 5(2 + x) + 4(3 - x) = 10x - 15
10 + 5x + 12 - 4x = 10x - 15
x + 22 = 10x - 15
9x = 37
x = 37/9

4) 3(x + 4) + (8 - 2x) = 22
3x + 12 + 8 - 2x = 22
x + 20 = 22
x = 2

9) 7(x - 2) + 5(3 - x) = 11x - 6
7x - 14 + 15 - 5x = 11x - 6
2x + 1 = 11x - 6
-9x = -7
x = 7/9

5) 4(x + 5) + 3(7 - x) = 49
4x + 20 + 21 - 3x = 49
x + 41 = 49
x = 8

10) 5(3 - x) + 5(x + 4) = 6 + 4x
15 - 5x + 5x + 20 = 6 + 4x
35 = 6 + 4x
4x = 29
x = 29/4

1) 2(x + 5) + 3(x + 7) = 41

2x + 10 + 3x + 21 = 41

5x + 31 = 41

5x = 41 - 31

5x = 10

x = 10 : 5

x = 2

2) 5(x + 6) + 2(x - 3) = 38

5x + 30 + 2x - 6 = 38

7x + 24 = 38

7x = 38 - 24

7x = 14

x = 14 : 7

x = 2

3) 7(5 + x) + 2(x - 10) = 15

35 + 7x + 2x - 20 = 15

9x + 15 = 15

9x = 15 - 15

9x = 0

x = 0

4) 3(x + 4) + (8 - 2x) = 22

3x + 12 + 8 - 2x = 22

x + 20 = 22

x = 22 - 20

x = 2

5) 4(x + 5) + 3(7 - x) = 49

4x + 20 + 21 - 3x = 49

x + 41 = 49

x = 49 - 41

x = 8

6) 7(x - 1) + 5(3 - x) = 11x - 10

7x - 7 + 15 - 5x = 11x - 10

2x - 11x + 8 = -10

-9x = -10 - 8

-9x = -18

x = -18 : (-9)

x = 2

7) 4(2 + x) + 3(x - 2) = 12

8 + 4x + 3x - 6 = 12

7x + 2 = 12

7x = 12 - 2

7x = 10

x = 10/7

8) 5(2 + x) + 4(3 - x) = 10x - 15

10 + 5x + 12 - 4x = 10x - 15

10x - 15 = x + 22

10x - x = 22 + 15

9x = 37

x = 37/9

9) 7(x - 2) + 5(3 - x) = 11x - 6

7x - 14 + 15 - 5x = 11x - 6

11x - 6 = 2x + 1

11x - 2x = 1 + 6

9x = 7

x = 7/9

10) 5(3 - x) + 5(x + 4) = 6 + 4x

15 - 5x + 5x + 20 = 6 + 4x

6 + 4x = 35

4x = 35 - 6

4x = 29

x = 29/4

a, Áp dụng tính chất dãy tỉ số bằng nhau ta có : 

\(\frac{x}{3}=\frac{y}{-2}=\frac{2x+5y}{2.3+5.\left(-2\right)}=-\frac{12}{-4}=3\)

\(x=-3;y=6\)

b, Theo bài ra ta có : \(x:y=4:5\Leftrightarrow\frac{x}{4}=\frac{y}{5}\)

Áp dụng tính chất dãy tỉ số bằng nhau ta có : 

\(\frac{x}{4}=\frac{y}{5}=\frac{x-y}{4-5}=\frac{13}{-1}=-13\)

\(x=-52;y=-65\)

c, Theo bài ra ta có: \(4x=7y\Leftrightarrow\frac{x}{7}=\frac{y}{4}\)

Áp dụng tính chất dãy tỉ số bằng nhau ta có :

\(\frac{x}{7}=\frac{y}{4}=\frac{x-y}{7-4}=\frac{12}{3}=4\)

\(x=28;y=16\)

bài 1:

a) 1/3x=-5/3

x=-5

b) x+12/5=37/15

x=1/15

c) x-1/7=-36/7

x=-5

d) 3x-1/2=0

3x=1/2

x=1/6

e) 2/5+x=1/4

x=-3/20

Viết rõ ra hộ mình với

1/3x=4/3-3=-5/3

x=-5/3:1/3=-5

a, ( 13.x - 12²) : 5 = 5

    ( 13.x - 12²)      = 5.5

    ( 13.x - 12²)      = 25

    ( 13.x - 144)      = 25

    13.x                   = 25 + 144

    13.x                   = 169

         x                   = 169 : 13

         x                   = 13

Vậy x = 13

b, 3.x[8² - 2.(2⁵ - 1)]  = 2022

    3.x[64 - 2.(32 - 1)] = 2022

    3.x[62 - 2.31]         = 2022

    3.x[62 - 62]            = 2022

    3.x.0                      = 2022

    3.x                         = 2022 : 0

    3.x                         = 0

       x                         = 0 : 3

       x                         = 0

Vậy x = 0

Đây bạn nhé !!!

Chúc bạn học tốt !!!

giải chi tiết ra giúp mk nhé, cảm ơn nhiều

Lời giải:

a. 

$x-\frac{1}{2}=\frac{2}{3}$

$x=\frac{2}{3}+\frac{1}{2}=\frac{7}{6}$

b. 

$x\times \frac{5}{6}=\frac{1}{2}$
$x=\frac{1}{2}: \frac{5}{6}=\frac{3}{5}$

c.

$x:\frac{2}{5}=10$

$x=10\times \frac{2}{5}=4$

d.

$\frac{7}{5}-x=\frac{12}{10}$

$x=\frac{7}{5}-\frac{12}{10}=\frac{1}{5}$