Giải phương trình: x-5/100+x-4/101+x-3/102 = x-100/5 + x-101/4 + x-102/3

Ta có:

 x−5100+x−4101+x−3102=x−1005+x−1014+x−1023
 ⇔x−5100−1+x−4101−1+x−3102−1=x−1005−1+x−1014−1+x−1023−1
 ⇔x−105100+x−105101+x−105102=x−1055+x−1054+x−1053
 ⇔x−1051100+1101+1102−15+14+13=0
 ⇔x−105=01100+1101+1102−15+14+13=0
 ⇔x−105=0⇔x=105

Vậy x = 105.