Giải thích các bước giải:

`(2x - 50)/50 + (2x - 51)/49 + (2x - 52)/48 + (2x - 53)/47 + (2x - 200)/25 = 0`

`=> (2x - 50)/50 + (2x - 51)/49 + (2x - 52)/48 + (2x - 53)/47 + (2x - 100)/25 - 4 = 0`

`=> (2x - 50)/50 - 1 + (2x - 51)/49 - 1 + (2x - 52)/48 - 1 + (2x - 53)/47 - 1 + (2x - 100)/25 =0`

`=> (2x - 100)/50 + (2x - 100)/49 + (2x - 100)/48 + (2x - 100)/47 + (2x - 100)/25 = 0`

`=> (2x - 100)(1/50 + 1/49 + 1/48 + 1/47 + 1/25) = 0`

Mà  `1/50 + 1/49 + 1/48 + 1/47 + 1/25 > 0`

`=> 2x - 100 = 0`

`=> 2x = 100`

`=> x = 50`

         Vậy `S = {50}`