a) (x - 15) × 7 - 270 : 45 = 169

(x - 15) × 7 - 6 = 169

(x - 15) × 7 = 169 + 6

(x - 15) × 7 = 175

x - 15 = 175 : 7

x - 15 = 25

x = 25 + 15

x = 40

b) [(4x + 28) × 3 + 55] : 5 = 35

(4x + 28) × 3 + 55 = 35 × 5

(4x + 28) × 3 + 55 = 175

(4x + 28) × 3 = 175 - 55

(4x + 28) × 3 = 120

4x + 28 = 120 : 3

4x + 28 = 40

4x = 40 - 28

4x = 12

x = 12 : 4

x = 3

c) (455 × x : 2 × 6) : 5 = 31

455 × x : 2 × 6 = 31 × 5

455 × x : 2 × 6 = 155

x × 455 : 2 × 6 = 155

x × 1365 = 155

x = 155 : 1365

x = 31/273

d) 128 × x - 12 × x - 16 × x = 520800

(128 - 12 - 16) × x = 520800

100 × x = 520800

x = 520800 : 100

x = 5208

e) (x × 0,25 + 2022) × 2023 = (50 + 2022) × 2023

(x × 0,25 + 2022) × 2023 = 2072 × 2023

(x × 0,25 + 2022) × 2023 = 4191656

x × 0,25 + 2022 = 4191656 : 2023

x × 0,25 + 2022 = 2072

x × 0,25 = 2072 - 2022

x × 0,25 = 50

x = 50 : 0,25

x = 200

f) 4 × x + 100 = x + 280

4 × x - x = 280 - 100

(4 - 1) × x = 180

3 × x = 180

x = 180 : 3

x = 60

g) (x + 1) + (x + 2) + (x + 3) + ... + (x + 100) = 7450

x + 1 + x + 2 + x + 3 + ... + x + 100 = 7450

100 × x + 100 × 101 : 2 = 7450

100 × x + 5050 = 7450

100 × x = 7450 - 5050

100 × x = 2400

x = 2400 : 100

x = 24

a) 5^x-1 = 5^2 + 100

=> 5^x-1 = 125 = 5³

=> x - 1 = 3

=> x = 4.

b) x¹⁰ = x

=> x = {-1;0;1}

2.5².3² + {[2.5³ - (5x + 4).5 : (2³.3.5)]} = 455

=> 450 + {250 - (5x + 4).5 : 120} = 455

=> 250 - (5x + 4).5 : 120 = 5

=> (5x + 4).5 : 120 = 245

=> (5x + 4).5 = 245.120 = 29400

=> 5x + 4 = 29400 : 5 = 5880

=> 5x = 5876

=> x = 1175,2

Bài 1 :

a, Ta có : \(\left(-123\right)+\left|-13\right|+\left(-7\right)\)

= \(\left(-123\right)+13+\left(-7\right)=\left(-117\right)\)

b, Ta có : \(\left|-10\right|+\left|45\right|+\left(-\left|-455\right|\right)+\left|-750\right|\)

= \(10+45-455+750=350\)

c, Ta có : \(-\left|-33\right|+\left(-15\right)+20-\left|45-40\right|-57\)

= \(\left(-33\right)+\left(-15\right)+20-5-57=-90\)

Giải:

số số hạng : (455 - 1) : 2 + 1 = 228 số

tổng : (455+1) x 228 : 2 = 51984

dap so: 51984

số số hạng : (455 - 1) : 2 + 1 = 228 số

tổng : (455+1) x 228 : 2 = 51984

a) \(9.x-2.x=\frac{6^{27}}{6^{25}}+\frac{48}{12}\)

\(\Leftrightarrow7x=6^2+4\)

\(\Leftrightarrow7x=36+4=40\)

\(\Leftrightarrow x=\frac{40}{7}\)

Vậy : \(x=\frac{40}{7}\)

b) \(11^x=5.x+\frac{5^{31}}{5^{29}}+3.2^2-10^0\)

\(\Leftrightarrow11^x=5x+5^2+12-1\)

\(\Leftrightarrow11^x=5x+36\)

\(\Rightarrow x\in\varnothing\)

`( 42 - x ) : 9 + 1 = 4`

`( 42 - x ) : 9 =4-1`

`( 42 - x ) : 9 =3`

`42-x=3xx9`

`42-x=27`

`x=42-27`

`x=15`

Vậy `=15`

`55 - 5 xx ( x + 1 ) = 20`

`5 xx ( x + 1 ) =55-20`

`5 xx ( x + 1 ) =35`

`x+1=35:5`

`x+1=7`

`x=7-1`

`x=6`

Vậy `x=6`

`164 - 64 : ( 12 + x ) = 160`

` 64 : ( 12 + x ) =164-160`

` 64 : ( 12 + x ) =4`

`12+x=64:4`

`12+x=16`

`x=16-12`

`x=2`

Vậy `x=2`

`@` `\text {Ans}`

`\downarrow`

`(42 - x) \div 9 + 1 = 4`

` (42 - x) \div 9 = 4 - 1`

` (42 - x) \div 9 = 3`

` 42 - x = 3 \times 9`

` 42 - x = 27`

` x = 42 - 27`

` x = 15`

______

`55 - 5 \times ( x + 1 ) = 20`

`5 \times (x+1) = 55 - 20`

`5 \times (x+1) = 35`

`x + 1 = 35 \div 5`

`x + 1 = 7`

`x = 7 - 1`

`x = 6`

______

`164 - 64 \div ( 12 + x ) = 160`

`64 \div (12 + x) = 164 - 160`

`64 \div (12 + x) = 4`

`12 + x = 64 \div 4`

`12 + x = 16`

`x = 16 - 12`

`x = 4`

`@` `\text {Kaizuu lv uuu}`

a) \(6-\dfrac{2}{5}+\dfrac{3}{5}\) x \(3\)

\(=6-\dfrac{2}{5}+\dfrac{9}{5}\)

\(=\dfrac{30}{5}-\dfrac{2}{5}+\dfrac{9}{5}\)

\(=\dfrac{30-2+9}{5}=\dfrac{37}{5}\)

b) \(\left(\dfrac{31}{35}-\dfrac{4}{7}\right)\) x \(\dfrac{8}{7}:2\)

\(=\left(\dfrac{31}{35}-\dfrac{20}{35}\right)\) x \(\dfrac{8}{7}:2\)

\(=\dfrac{11}{35}\) x \(\dfrac{8}{7}:2\)

\(=\dfrac{11}{35}\) x \(\dfrac{8}{7}\) x \(\dfrac{1}{2}\)

\(=\dfrac{\text{11 x 8 x 1}}{\text{ 35 x 7 x 2}}=\dfrac{88}{490}=\dfrac{88}{245}\)  

a) 6−25+356−25+35 x 33

=6−25+95=6−25+95

=305−25+95=305−25+95

=30−2+95=375=30−2+95=375

b) (3135−47)(3135−47) x 87:287:2

=(3135−2035)=(3135−2035) x 87:287:2

=1135=1135 x 8

a: =7/8:(2/9-18+1/36)-5/12

=-7/142-5/12=-397/852

b: =3/7(4/9+5/9:6/12)=2/3

c: =5^8(16/31-47/31)+1/3=-5^8+1/3

d: =7/2(3/8+5/8:4/15)=609/64

Cho nên kết quả cau c đi

a, x + 1/9 - 3/5 = 3/6

    x + 1/9        = 3/6 - 3/5

    x + 1/9        = -1/10

    x                = -1/10 - 1/9

    x                = -19/90

19/90 nha