Ta có:

\(\frac{x+7}{2010}+\frac{x+6}{2011}=\frac{x+5}{2012}+\frac{x+4}{2013}\)

\(\Leftrightarrow\left(\frac{x+7}{2010}+1\right)+\left(\frac{x+6}{2011}+1\right)=\left(\frac{x+5}{2012}+1\right)+\left(\frac{x+4}{2013}+1\right)\)

\(\Leftrightarrow\frac{x+2017}{2010}+\frac{x+2017}{2011}=\frac{x+2017}{2012}+\frac{x+2017}{2013}\)

\(\Leftrightarrow\left(x+2017\right)\left(\frac{1}{2010}+\frac{1}{2011}\right)=\left(x+2017\right)\left(\frac{1}{2013}+\frac{1}{2014}\right)\)

Suy ra \(x+2017=0\)

Vậy \(x=-2017\)

b) Dễ tự làm nhé

=(0+1+2-3)+(-4+5+6-7)+(-8+9+10-11)+....+(-2010+2011+2012-2013)+2014

=0+0+0+...+0+2014=2014

a) \(\frac{x+1}{9}+\frac{x+2}{8}=\frac{x+3}{7}+\frac{x+4}{6}\)

\(\Rightarrow\frac{x+1}{9}+1+\frac{x+2}{8}+1=\frac{x+3}{7}+1+\frac{x+4}{6}+1\)

\(\Rightarrow\frac{x+10}{9}+\frac{x+10}{8}=\frac{x+10}{7}+\frac{x+10}{6}\)

\(\Rightarrow\frac{x+10}{9}+\frac{x+10}{8}-\frac{x+10}{7}-\frac{x+10}{6}=0\)

\(\Rightarrow\left(x+10\right)\left(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\right)=0\)

Mà \(\left(\frac{1}{9}< \frac{1}{8}< \frac{1}{7}< \frac{1}{6}\right)\)nên \(\left(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\right)< 0\)

\(\Rightarrow x+10=0\Rightarrow x=-10\)

Vậy x = -10

b) \(\frac{x}{2012}+\frac{x+1}{2013}+\frac{x+2}{2014}+\frac{x+3}{2015}+\frac{x+4}{2016}=5\)

\(\Rightarrow\frac{x}{2012}-1+\frac{x+1}{2013}-1+\frac{x+2}{2014}-1\)

\(+\frac{x+3}{2015}-1+\frac{x+4}{2016}-1=0\)

\(\Rightarrow\frac{x-2012}{2012}+\frac{x-2012}{2013}+\frac{x-2012}{2014}\)\(+\frac{x-2012}{2015}+\frac{x-2012}{2016}=0\)

\(\Rightarrow\left(x-2012\right)\left(\frac{1}{2012}+\frac{1}{2013}+\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}\right)=0\)

Mà \(\left(\frac{1}{2012}+\frac{1}{2013}+\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}\right)>0\)nên x - 2012 = 0

Vậy x = 2012

a, (x+1)/9 +1 + (x+2)/8  =  (x+3)/7 + 1 + (x+4)/6 + 1

<=> (x+10)/9 +(x+10)/8 = (x+10)/7 + (x+10)/6

<=> (x+10). (1/9 +1/8 - 1/7 -1/6) =0

vì 1/9 +1/8 -1/7 - 1/6 khác 0

=> x+10=0

=> x=-10

Từ \(\frac{x+5}{2014}+\frac{x+6}{2013}+\frac{x+7}{2012}=-3\)

\(\Leftrightarrow\left(\frac{x+5}{2014}+1\right)+\left(\frac{x+6}{2013}+1\right)+\left(\frac{x+7}{2012}+1\right)=0\)

\(\Leftrightarrow\frac{x+2019}{2014}+\frac{x+2019}{2013}+\frac{x+2019}{2012}=0\)

\(\Leftrightarrow\left(x+2019\right)\left(\frac{1}{2014}+\frac{1}{2013}+\frac{1}{2012}\right)=0\)

\(mà\) \(\frac{1}{2014}+\frac{1}{2013}+\frac{1}{2012}>0\)

nên : \(x+2019=0\Leftrightarrow x=-2019\)

Vậy : \(x=-2019\)

\(\frac{x+5}{2014}+\frac{x+6}{2013}+\frac{x+7}{2012}=-3\\ \frac{x+5}{2014}+\frac{x+6}{2013}+\frac{x+7}{2012}+3=0\\ \left(\frac{x+5}{2014}+1\right)+\left(\frac{x+6}{2013}+1\right)+\left(\frac{x+7}{2012}+1\right)=0\\ \frac{x+2019}{2014}+\frac{x+2019}{2013}+\frac{x+2019}{2012}=0\\ \left(x+2019\right)\left(\frac{1}{2014}+\frac{1}{2013}+\frac{1}{2012}\right)=0\\ \Rightarrow x+2019=0\\x=-2019 \)

Vậy x = -2019

\(5\frac{4}{7}\) + ( x-2 ) x 1/3 = \(17\frac{3}{4}\)

39/7     + ( x- 2 ) x 1/3  = 71/4

               ( x -2 ) x 1/3 = 71/4 - 39/7 

                ( x -2 ) x 1/3 = 341/28

                   x - 2          = 341/28 : 1/3 

                   x -2           = 341/28 x 3

                   x -2           = 1023/28

                    x              = 1023/28 + 2

                    x              = 1079/28 

P/s : số lớn tek!?

Cbht!!!!!                    

\(\frac{\frac{5}{4}}{7}+\left(x-2\right)\times\frac{1}{3}=\frac{\frac{17}{3}}{4}\)

\(\frac{35}{4}+\left(x-2\right)\times\frac{1}{3}=\frac{68}{3}\)

\(\frac{35}{4}+\left(x-2\right)=68\)

\(x-2=68-8,75\)

\(x-2=59,25\)

\(x=59,25+2\)

\(x=61,25\)

fffffswwwwww

5/4/7 + ( x - 2 ) x 1/ 3 = 17 / 3 / 4

 35/4  + ( x - 2 ) x 1/3 = 68/3

              ( x -2 ) x 1/3 = 68/3 - 35/4

               ( x-2 ) x 1/3 = 167 / 12

                        x - 2    = 167 / 12 : 1/ 3

                         x -2     = 167 / 4

                                 x  = 167 / 4 + 2

                                  x  = 175/4 .

dễ mà tự tính đi

35/4+ (x-2)x1/3= 68/3

(x-2)x1/3         = 68/3 -35/4=167/12

x-2                 = 167/12 : 1/3 =167/4

x                   = 167/4 +2=175/8