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(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
\(\dfrac{10}{17}-\dfrac{5}{13}-\dfrac{-7}{17}-\dfrac{8}{13}+\dfrac{11}{25}\)
\(=\left(\dfrac{10}{17}+\dfrac{7}{17}\right)-\left(\dfrac{5}{13}+\dfrac{8}{13}\right)+\dfrac{11}{25}\)
\(=1-1+\dfrac{11}{25}=\dfrac{11}{25}\)
\(60\frac{7}{13}x+50\frac{8}{13}x-11\frac{2}{13}x=x.\left(60\frac{7}{13}+50\frac{8}{13}-11\frac{2}{13}\right)\)
\(=x.\left(60+\frac{7}{13}+50+\frac{8}{13}-11-\frac{2}{13}\right)\)
\(=-8\frac{1}{7}.\left(99+1\right)\)
\(=\frac{-57}{7}.100=\frac{-5700}{7}\)