\(\frac{x-144}{10}+\frac{x-130}{12}+\frac{x-112}{14}+\frac{x-106}{16}+\frac{x-96}{17}=15\)

\(\Leftrightarrow\)\(\frac{x-144}{10}-1+\frac{x-130}{12}-2+\frac{x-112}{14}-3+\frac{x-106}{16}-4+\frac{x-96}{17}-5=0\)

\(\Leftrightarrow\)\(\frac{x-154}{10}+\frac{x-154}{12}+\frac{x-154}{14}+\frac{x-154}{16}+\frac{x-154}{17}=0\)

\(\Leftrightarrow\)\(\left(x-154\right)\left(\frac{1}{10}+\frac{1}{12}+\frac{1}{14}+\frac{1}{16}+\frac{1}{17}\right)=0\)

\(\Leftrightarrow\)\(x-154=0\)  (do   1/10 + 1/12 + 1/14 + 1/16 + 1/17  khác   0)

\(\Leftrightarrow\)\(x=154\)

Vậy...

Hình như đề có gì sai nha bạn.

A=\(\frac{x+2}{10}+\frac{x+2}{11}+\frac{x+2}{12}\)\(+\frac{x+2}{13}=\frac{x+2}{14}+\frac{x+2}{15}\)

\(\frac{x+2}{10}+\frac{x+2}{11}+\frac{x+2}{12}\)\(+\frac{x+2}{13}\)-\(\frac{x+2}{14}-\frac{x+2}{15}=0\)

\(\left(x+2\right).\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}+\frac{1}{13}-\frac{1}{14}-\frac{1}{15}\right)=0\)

x+2=0 vì \(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}+\frac{1}{13}-\frac{1}{14}-\frac{1}{15}\)khác\(0\)

x=0-2=-2

Vậy x=-2

\(\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+....+\frac{2}{x\left(x+1\right)}=\frac{12}{15}\)

=>\(\frac{2}{20}+\frac{2}{30}+\frac{2}{42}+....+\frac{2}{x\left(x+1\right)}=\frac{12}{15}\)

=>\(2.\left(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+....+\frac{1}{x\left(x+1\right)}\right)=\frac{12}{15}\)

=>\(2.\left(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+....+\frac{1}{x\left(x+1\right)}\right)=\frac{12}{15}\)

=>\(2.\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{12}{15}\)

=>\(2.\left(\frac{1}{4}-\frac{1}{x+1}\right)=\frac{12}{15}\Rightarrow\frac{1}{4}-\frac{1}{x+1}=\frac{12}{15}:2=\frac{2}{5}\Rightarrow\frac{1}{x+1}=\frac{1}{4}-\frac{2}{5}=-\frac{3}{20}\)

=>x=-23/3

\(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}=\frac{x+1}{13}+\frac{x+1}{14}+\frac{x+1}{15}\)

\(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}-\frac{x+1}{13}-\frac{x+1}{14}-\frac{x+1}{15}=0\)

\(\left(x+1\right).\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}-\frac{1}{14}-\frac{1}{15}\right)=0\)

\(\text{Vì }\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}-\frac{1}{14}-\frac{1}{15}\ne0\text{ nên:}\)

\(x+1=0\)

\(x=-1\)

\(\text{Vậy x=-1}\)

Trương Chí Kiêng vừa ns thiếu để sao giờ giải đk rùi có siêu sao nhí 

x=-1 bạn nha

CHÚC BẠN HỌC GIỎI

(x+2)/17+(x+4)/15+(x+6)/13=(x+8)/11+(x+10)/9+(x+12)/7

=>(x+2+17)/17+(x+4+15)/15+(x+6+13)/13=(x+8+11)/11+(x+10+9)/9+(x+12+7)/7

=>(x+19)/17+(x+19)/15+(x+19)/13=(x+19)/11+(x+19)/9+(x+19)/7

=>(x+19)/17+(x+19)/15+(x+19)/13-(x+19)/11-(x+19)/9-(x+19)/7=0

=>(x+19)*(1/17+1/15+1/13-1/11-1/9-1/7)=0

=>x+19=0

=>x=19

áp dụng tc tỉ lệ thức ta có :

\(\Leftrightarrow\frac{671x+2804}{3315}=\frac{239x+2462}{693}\Rightarrow\left(671x+2804\right)693=3315\left(239x+2462\right)\)

=>(671x+2804)693=693(671x+2804) (VT)

<=>693(671x+2804)=3315(239x+2462)

=>465003x+1943172=792285x+8161530

=>-327282x=621835

=>x=621835:(-327282)

=>x=-19

Đây đâu phải toán lớp một mà là toán lớp 6 thì có

vế trái có bị sai ko em. chị nghĩ câu hỏi nên là: x+2/17 + x+4/15 + x+6/13=x+8/11 + x+10/9 + x+12/7

\(x=\frac{903}{391}\)

Bài này sử dụng MTCT đó bạn!

903/391 mình nghĩ vậy

x = 903/391