Đáp án+Giải thích các bước giải:
`\frac{x-16}{21}+\frac{x-31}{23}+\frac{x-50}{25}+\frac{x-73}{27}-10=0`
`->`Ta tách `-10=-4-3-2-1`
`->\frac{x-16}{21}-4+\frac{x-31}{23}-3+\frac{x-50}{25}-2+\frac{x-73}{27}-1=0`
`->\frac{x-16-84}{21}+\frac{x-31-69}{23}+\frac{x-50-50}{25}+\frac{x-73-27}{27}=0`
`->\frac{x-100}{21}+\frac{x-100}{23}+\frac{x-100}{25}+\frac{x-100}{27}=0`
`->(x-100).\frac{1}{21}+(x-100).\frac{1}{23}+(x-100).\frac{1}{25}+(x-100).\frac{1}{27}=0`
`->(x-100)(1/21+1/23+1/25+1/27)=0`
Ta có: `1/21+1/23+1/25+1/27>0`
`->x-100=0`
`->x=100`
Vậy `x=100`