\(\left(x+\dfrac{1}{2}\right)+\left(x+\dfrac{1}{6}\right)+\left(x+\dfrac{1}{12}\right)+...+\left(x+\dfrac{1}{420}\right)=20\)

\(\left(x+x+x+...+x\right)+\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{420}\right)=20\) (20 số x)

\(20x+\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{20}-\dfrac{1}{21}\right)=20\)

\(20x+\left(1-\dfrac{1}{21}\right)=20\)

\(20x+\dfrac{20}{21}=20\)

\(20x=20-\dfrac{20}{21}\)

\(20x=\dfrac{400}{21}\)

\(x=\dfrac{400}{21}:20\)

\(x=\dfrac{400}{21}.\dfrac{1}{20}\)

\(x=\dfrac{20}{21}\)

Tìm x : 

x + 1/3 = 4/5 

x = 4/5 - 1/3 

x = 12/15 - 5/15 

x = 7/15 

x - 1/2 = 2/7 

x = 2/7 + 1/2 

x = 4/14 + 7/14 

x = 11/14 

4/7 × x = 1/3 

x = 1/3 : 4/7 

x = 1/3 × 7/4 

x = 7/12 

x : 2/5 = 2/9 

x = 2/9 × 2/5 

x = 4/45 

20 × 7 : ( 5 × x - 3 × 5 ) = 4 

140 : 5  × ( x - 3 )  = 4 

5 × ( x - 3 ) = 140 : 4 

5 × ( x - 3 ) = 35 

x - 3 = 35 : 5 

x - 3 = 7 

x = 7 + 3 

x = 10 

x - 270  = 420 : 105 

x - 270 = 4 

x = 4 + 270 

x = 274 

x - 140 : 35 = 270 

x - 4 = 270 

x  = 270 + 4 

x = 274 

x + 1/3 = 4/5

x           = 4/5 - 1/3 

x           =  7/15

x - 1/2 = 2/7

x         = 2/7 + 1/2

x        = 11/14

4/7 * x  =  1/3

        x   = 1/3 : 4/7

        x    = 7/12

x : 2/5 = 2/9

x         = 2/9 * 2/5

x          4 / 45

20 * 7 : ( 5*x - 3 * 5) =4

= 140 :(5*x -3 *5) =4

5*x- 3*5 = 140 : 4

5*x - 3 * 5 = 35 

5* x           = 35 + 3 * 5

5 * x           =  50

x                = 50 : 5

x                = 10

x - 270 = 402 : 105

x - 270 = 4

x          = 270 + 4

x           =   274

x- 140 : 35 = 270 

x -  4          = 270

x                 = 270 + 4

x                  = 274

a: -x+5/9=-1/3

nên x=5/9+1/3=5/9+3/9=8/9

b: \(\Leftrightarrow\dfrac{1}{5}+\dfrac{1}{10}+\dfrac{11}{15}< x< \dfrac{1}{2}+\dfrac{13}{12}+\dfrac{1}{3}\)

=>31/30<x<23/12

mà x là số nguyên

nên \(x\in\varnothing\)

c: x+5/3=1/81

nên x=1/81-135/81=-134/81

Giúp me với

Bài 3: 

a: Ta có: 60-3(x-2)=51

\(\Leftrightarrow x-2=3\)

hay x=5

b: Ta có: \(4x-20=25:2^2\)

\(\Leftrightarrow4x=\dfrac{25}{4}+20=\dfrac{105}{4}\)

hay \(x=\dfrac{105}{16}\)

c: Ta có: \(8\cdot6+288:\left(x-3\right)^2=50\)

\(\Leftrightarrow288:\left(x-3\right)^2=50-48=2\)

\(\Leftrightarrow\left(x-3\right)^2=144\)

\(\Leftrightarrow\left[{}\begin{matrix}x-3=12\\x-3=-12\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=15\\x=-9\end{matrix}\right.\)

\(x\cdot1+x\cdot2+x\cdot3=900-420\)

\(x\cdot(1+2+3)=480\)

\(x\cdot6=480\rightarrow x=80\)

X x 1 + X x 2 + X x 3 = 900 - 420

X x ( 1 + 2 + 3 ) = 480

X x 6 = 480

X = 480 : 6

X = 80

X x 1 + X x 2 + X x 3 = 900 - 420

X x ( 1 + 2 + 3 ) = 480

X x 6 = 480

X = 480 : 6

X = 80

vậy X = 80