1,Tìm x:

\(\left(x+8\right)+\left(x-4\right)=x-20\)

\(\Leftrightarrow x+8+x-4=x-20\)

\(\Leftrightarrow x+x-x=-20+4-8\)

\(\Leftrightarrow x=-24\)

Vậy...

a/=> 16x - 2 = 78

=> 16x = 80

=> x = 5

b/ => [ 7(x - 3) + 4 ] : 2 = 20

=> 7(x - 3) + 4 = 40

=> 7(x - 3) = 36

=> x - 3 = 36/7

=> x = 57/7

g: =>3x-10=200

hay x=70

c) (7x + x – 28) :100 – 38 = 9

<=> 8x - 28 = 4700

<=> x = 591

d) 936 – (4x + 5x ) = 900

<=> 9x = 36

<=> x = 4

a

A

a

a)

\(512-\left(128-5x\right)=3x+12\\ 512-128+5x=3x+12\\ 384+5x=3x+12\\ 5x-3x=12-384\\ 2x=-372\\ x=\left(-372\right):2\\ x=-186\)

b)

\(\left(2x-1\right)+\left(4x-2\right)+...+\left(400x-200\right)=5+10+...+1000\\ \left(2x+4x+...+400x\right)-\left(1+2+...+200\right)=5+10+...+1000\\ x\left(2+4+...+400\right)=\left(5+10+...+1000\right)+\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=5\cdot\left(1+2+...+200\right)+1\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=\left(5+1\right)\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=6\cdot\left(1+2+...+200\right)\\ \Rightarrow2x=6\\ x=6:2\\ x=3\)

c)

\(\left(x+2\right)+\left(4x+4\right)+\left(7x+6\right)+...+\left(25x+18\right)+\left(28x+20\right)=1560\\ \left(x+4x+7x+...+25x+28x\right)+\left(2+4+6+...+18+20\right)=1560\\ x\left(1+4+7+...+25+28\right)+110=1560\\ 145x+110=1560\\ 145x=1560-110\\ 145x=1450\\ x=1450:145\\ x=10\)

d)

\(x+4x+5x+9x+14x+...+97x=500\\ x\left(1+4+5+9+14+...+97\right)=500\)

Dãy số trong ngoặc có quy luật: Số thứ \(n\) bằng số thứ \(n-1\) cộng số thứ \(n-2\)

Suy ra dãy số đó là: \(1+4+5+9+14+23+37+60+97=250\)

Thế vào ta được:

\(250x=500\\ x=500:250\\ x=2\)

e)

\(720-\left[41-\left(2x-5\right)\right]=2^3\cdot5\\ 720-41+\left(2x-5\right)=8\cdot5\\ 720-41+2x-5=40\\ \left(720-41-5\right)+2x=40\\ 674+2x=40\\ 2x=40-674\\ 2x=-634\\ x=\left(-634\right):2\\ x=-317\)

f)

\(697:\dfrac{15x+364}{x}=17\\ \dfrac{15x+364}{x}=697:17\\ \dfrac{15x+364}{x}=41\\ \dfrac{15x+364}{x}\cdot x=41x\\ 15x+364=41x\\ 364=41x-15x\\ 364=26x\\ x=364:26\\ x=14\)

a, \(x+18\) = 6 - 2\(x\)

    \(x\) + 2\(x\) = 18 - 6

     3\(x\)      = 12

        \(x\)      = 4

b, 17 - \(x\)  = 7 - 6\(x\) 

    - \(x\) + 6\(x\) = 7 - 17

        5\(x\)     = - 10

           \(x\)    = - 2

c, \(x\) + 15 = 20 - 4\(x\)

   \(x\) + 4\(x\) = 20 - 15

      5\(x\)    = 5

         \(x\) = 1

d, 7\(x\) - 4 = 20 + 3\(x\)

    7\(x-3x=20+4\)

    4\(x\)         = 24

        \(x\)       = 6

    e, -12 + \(x\)  = 5\(x\) - 20

        -12 + 20  = 5\(x\) - \(x\)

          4\(x\) = 8

              \(x\) = 2

    f, 4\(x\) - 18 = \(x\) + 27

        4\(x\) - \(x\) = 27 + 18 

          3\(x\) = 45

             \(x\) = 15

17)

\(x^3-2x^2+x\\ =x\left(x^2-2x+1\right)\\ =x\left(x-1\right)^2\)

18)

\(3\left(x+4\right)-x^2-4x\\ =3\left(x+4\right)-x\left(x+4\right)\\ =\left(x+4\right)\left(3-x\right)\)

19)

\(x^2+5x-6\\ =x^2+6x-x-6\\ =x\left(x+6\right)-\left(x+6\right)\\ =\left(x+6\right)\left(x-1\right)\)

20)

\(x^2+x-20\\ =x^2+5x-4x-20\\ =x\left(x+5\right)-4\left(x+5\right)\\ =\left(x+5\right)\left(x-4\right)\)

\(17,x^3-2x^2+x=x\left(x^2-2x+1\right)=x\left(x-1\right)^2\)

\(18,3\left(x+4\right)-x^2-4x=3\left(x+4\right)-x\left(x+4\right)=\left(x+4\right)\left(3-x\right)\)

\(19,x^2+5x-6=x^2-x+6x-6=x\left(x-1\right)+6\left(x-1\right)=\left(x-1\right)\left(x+6\right)\)

\(20,x^2+x-20=x^2-4x+5x-20=x\left(x-4\right)+5\left(x-4\right)=\left(x-4\right)\left(x+5\right)\)

a,= 32.(11+67) +78.68

      32.78+78.68

      78.(32+68)

      78.100

      = 7800

b,76.(41-20)+21.24

   =76.21+21.24

   =21.(76+24)

   =21.100

   =2100

a: =2'30s

b: =3h34'

c: =40'26s

d: =6h23'

e: =4 ngày 14 giờ