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a: Ta có: \(142-\left[50-\left(2^3\cdot10-2^3\cdot5\right)\right]\)

\(=142-\left[50-80+40\right]\)

=142-10

=132

7 tháng 10 2021

a. 142 - [50-(23.10-23.5)]

= 142 - [ 50 - ( 8 . 10 - 8 . 5 )]

= 142 - [ 50 - ( 80 - 40 )]

= 142 - [ 50 - 40 ]

= 142 - 10 = 132

b. 375 : { 32[ 4+(5.32 - 42 )]} - 14

= 375 : { 32[4+(5.9 - 42 )]} - 14

= 375 : { 32[4 + ( 45 - 42 )]} - 14

= 375 : {32[4+3]} - 14

= 375 : 224 - 14

c.{210 : [ 16+3.(6+3.2^2)]} - 3

= {210 : [ 16 + 3.(6+3.4)]} - 3

= { 210 :[16+3.(6+12)]}-3

= {210 : [ 16+3.18)]} - 3

= { 210 : [ 16 + 54]} - 3

= { 210 : 70 } - 3

= 30 - 3 = 27

d.500-{5.[409-(2^3 . 3-21^2)] - 1724}

= 500-{5.[409-(8 . 63 - 21^2] - 1724}

= 500 - { 5.[409- (504 -  441) - 1724}

= 500 -{ 5.[ 409 - 63 ] - 1724}

= 500 - { 5.346 - 1724}

= 500 - { 1720 - 1724 }

= 500 - 6 

= 494

12 tháng 10 2020

1) 5x = 120 : 2

5x = 60

x = 60 : 5

x = 12.

2) 3x + 27 = 45

3x = 45 - 27

3x = 18

x = 18 : 3

x = 6.

3) 73 + x - 122 = 234 : 2

73 + x - 122 = 117

73 + x = 117 + 122

73 + x = 239

x = 239 - 73

x = 166.

4) 32 - 2 ( x - 1 ) = 12

2 ( x - 1 ) = 32 - 12

2 ( x - 1 ) = 20

x - 1 = 20 : 2

x - 1 = 10

x = 10 + 1

x = 11.

5) 3 ( x + 1 ) - 15 = 36

3 ( x + 1 ) = 36 + 15

3 ( x + 1 ) = 51

x + 1 = 51 : 3

x + 1 = 17

x = 17 - 1

x = 16.

6) 32 - ( 4x - 16 ) = 21

4x - 16 = 32 - 21

4x - 16 = 11

4x = 11 + 16

4x = 27

x = 27 : 4

x = 6,75.

7) 13x - 3x = 500

( 13 - 3 )x = 500

10x = 500

x = 500 : 10

x = 50.

8) 9x + x - 35 = 68

9x + 1x - 35 = 68

9x + 1x = 68 + 35

9x + 1x = 103

( 9 + 1 )x = 103

10x = 103

x = 103 : 10

x = 10,3.

12 tháng 10 2020

1) 5x = 120 : 2

5x = 60

x = 60 : 5

x = 12.

2) 3x + 27 = 45

3x = 45 - 27

3x = 18

x = 18 : 3

x = 6.

3) 73 + x - 122 = 234 : 2

73 + x - 122 = 117

73 + x = 117 + 122

73 + x = 239

x = 239 - 73

x = 166.

4) 32 - 2 ( x - 1 ) = 12

2 ( x - 1 ) = 32 - 12

2 ( x - 1 ) = 20

x - 1 = 20 : 2

x - 1 = 10

x = 10 + 1

x = 11.

5) 3 ( x + 1 ) - 15 = 36

3 ( x + 1 ) = 36 + 15

3 ( x + 1 ) = 51

x + 1 = 51 : 3

x + 1 = 17

x = 17 - 1

x = 16.

6) 32 - ( 4x - 16 ) = 21

4x - 16 = 32 - 21

4x - 16 = 11

4x = 11 + 16

4x = 27

x = 27 : 4

x = 6,75.

7) 13x - 3x = 500

( 13 - 3 )x = 500

10x = 500

x = 500 : 10

x = 50.

8) 9x + x - 35 = 68

9x + 1x - 35 = 68

9x + 1x = 68 + 35

9x + 1x = 103

( 9 + 1 )x = 103

10x = 103

x = 103 : 10

x = 10,3.

25 tháng 10 2023

a: \(4x^3+12=120\)

=>\(4x^3=108\)

=>\(x^3=27=3^3\)

=>x=3

b: \(\left(x-4\right)^2=64\)

=>\(\left[{}\begin{matrix}x-4=8\\x-4=-8\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-4\end{matrix}\right.\)

c: (x+1)^3-2=5^2

=>\(\left(x+1\right)^3=25+2=27\)

=>x+1=3

=>x=2

d: 136-(x+5)^2=100

=>(x+5)^2=36

=>\(\left[{}\begin{matrix}x+5=6\\x+5=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-11\end{matrix}\right.\)

e: \(4^x=16\)

=>\(4^x=4^2\)

=>x=2

f: \(7^x\cdot3-147=0\)

=>\(3\cdot7^x=147\)

=>\(7^x=49\)

=>x=2

g: \(2^{x+3}-15=17\)

=>\(2^{x+3}=32\)

=>x+3=5

=>x=2

h: \(5^{2x-4}\cdot4=10^2\)

=>\(5^{2x-4}=\dfrac{100}{4}=25\)

=>2x-4=2

=>2x=6

=>x=3

i: (32-4x)(7-x)=0

=>(4x-32)(x-7)=0

=>4(x-8)*(x-7)=0

=>(x-8)(x-7)=0

=>\(\left[{}\begin{matrix}x-8=0\\x-7=0\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=8\\x=7\end{matrix}\right.\)

k: (8-x)(10-2x)=0

=>(x-8)(x-5)=0

=>\(\left[{}\begin{matrix}x-8=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=5\end{matrix}\right.\)

m: \(3^x+3^{x+1}=108\)

=>\(3^x+3^x\cdot3=108\)

=>\(4\cdot3^x=108\)

=>\(3^x=27\)

=>x=3

n: \(5^{x+2}+5^{x+1}=750\)

=>\(5^x\cdot25+5^x\cdot5=750\)

=>\(5^x\cdot30=750\)

=>\(5^x=25\)

=>x=2

14 tháng 12 2016

b ) 5x + x = 39 - 32

=> 6x = 39 - 9

6x = 30

x = 30 : 6

x = 5

a ) 5x + 3x = 36 : 32 . 4 + 12

=> 8x = 36-2 . 4 + 12

8x = 34 . 4 + 12

8x = 81 . 4 + 12

8x = 324 + 12

8x = 336

x = 336 : 8

x = 42

k nha !

14 tháng 12 2016

1) 8x = 81 x 4 + 12

    8x = 324 + 12

    8x = 336

      x = 336 : 8

      x = 42
2) 6x = 30

      x  = 30 : 6

      x  = 5

nha ^^

12 tháng 10 2020

a) 5x = 120 : 2

5x = 60

x = 60 : 5

x = 12

b) 3x + 27 = 45

3x = 45 - 27

3x = 18

x = 18 : 3

x = 6

c) 73 + x - 122 = 234 : 2

73 + x - 122 = 117

73 + x = 117 + 122

73 + x = 239

x = 239 - 73

x = 166

d) 32 - 2(x - 1) = 12

2(x - 1) = 32 - 12

2(x - 1) = 20

x - 1 = 20 : 2

x - 1 = 10

x = 10 + 1

x = 11

e) 3(x + 1) - 15 = 36

3(x + 1) = 36 + 15

3(x + 1) = 51

x + 1 = 51 : 3

x + 1 = 17

x = 17 - 1

x = 16

f) 21 - (4x - 16) = 21

4x - 16 = 21 - 21

4x - 16 = 0

4x = 0 + 16

4x = 16

x = 16 : 4

x = 4

g) 13x - 3x = 500

10x = 500

x = 500 : 10

x = 50

h) 9x + x - 35 = 65

10x - 35 = 65

10x = 65 + 35

10x = 100

x = 100 : 10

x = 10

3 tháng 10 2018

a) (5x - 12 ) : 4 = 318 : 315

( 5x - 12 ) : 4 = 33

( 5x - 12 ) : 4 = 27

5x - 12 = 108

5x = 120

x = 24

b) 5x3 - 102 = 35

5x3 - 100 = 35

5x3 = 135

x= 27

x3 = 33

=> x = 3

c) 65 - 4x+2 = 20180

65 - 4x+2 = 1

4x+2 = 64

4x+2 = 43

x + 2 = 3

=> x = 1

3 tháng 10 2018

d) 2x+1 - 2x = 32

2x . ( 2 - 1 ) = 32

2x . 1 = 32

2x = 32

2x = 25

=> x = 5

6 tháng 7 2023

\(5.x+x=15:3+13\\ \Rightarrow\left(5+1\right).x=5+13=18\\ \Rightarrow6x=18\\ \Rightarrow x=\dfrac{18}{6}=3\)

 

\(\dfrac{2}{3}x+\dfrac{1}{3}x+\dfrac{1}{2}=\dfrac{2}{3}\\ \Rightarrow x\left(\dfrac{2}{3}+\dfrac{1}{3}\right)=\dfrac{2}{3}-\dfrac{1}{2}\\ \Rightarrow x=\dfrac{4}{6}-\dfrac{3}{6}=\dfrac{1}{6}\)

 

\(\dfrac{2}{5}x+x=\dfrac{3}{2}\\ \Rightarrow x\left(\dfrac{2}{5}+1\right)=\dfrac{3}{2}\\ \Rightarrow x\left(\dfrac{2}{5}+\dfrac{5}{5}\right)=\dfrac{3}{2}\\ \Rightarrow x.\dfrac{7}{5}=\dfrac{3}{2}\\ \Rightarrow x=\dfrac{3}{2}:\dfrac{7}{5}\\ \Rightarrow x=\dfrac{3.5}{7.2}=\dfrac{15}{14}\)

6 tháng 7 2023

\(5\cdot x+x=15:3+13\)

\(\Rightarrow x\cdot\left(5+1\right)=5+13\)

\(\Rightarrow x\cdot6=18\)

\(\Rightarrow x=\dfrac{18}{6}=3\)

================

\(\dfrac{2}{3}\cdot x+\dfrac{1}{3}\cdot x+\dfrac{1}{2}=\dfrac{2}{3}\)

\(\Rightarrow x\cdot\left(\dfrac{2}{3}+\dfrac{1}{3}\right)=\dfrac{2}{3}-\dfrac{1}{2}\)

\(\Rightarrow x\cdot1=\dfrac{1}{6}\)

\(\Rightarrow x=\dfrac{1}{6}\)

=============

\(\dfrac{2}{5}\cdot x+x=\dfrac{3}{2}\)

\(\Rightarrow x\cdot\left(\dfrac{2}{5}+1\right)=\dfrac{3}{2}\)

\(\Rightarrow x\cdot\dfrac{7}{5}=\dfrac{3}{2}\)

\(\Rightarrow x=\dfrac{3}{2}:\dfrac{7}{5}\)

\(\Rightarrow x=\dfrac{15}{14}\)

18 tháng 1 2018

a,3x + 20 = -5x - (-36) => 3x + 20 = -5x + 36 => 8x = 16 => x=2

b,32 + x = 6 ( x +2 )=> 32 + x = 6x+12=>-5x=-20=>x=4

c,| x -2 | -3 = 5=>| x -2 | = 8 =>  x -2  = 8 hoặc x -2  = -8 => x=10 hoặc x=-6 

18 tháng 1 2018

a) 3x+5x=36-20 => 8x=16 => x =2 .

b) x+32=6x+12 => x-6x=12-32 => -5x=-20 => x=4 

c) / x-2 / = 5+3 =8 => x-2=8 hoặc x-2=-8.

=> x=10 hoặc x=-6 .

12 tháng 4 2017

a,  3 x - 2 3 = 2 . 32

3 x - 2 3 = 64

3 x - 2 3 = 4 3

3 x - 2 = 4 ⇔ x = 2

b,  5 x + 1 - 5 x = 500

5 x . 5 - 5 x = 500

5 x . ( 5 - 1 ) = 500

5 x . 4 = 500

5 x = 125 = 5 3

x = 3