Giải phương trình sau: $\ \dfrac{3}{x - m} - \dfrac{1}{x - 2} = \dfrac{2}{x - 2m} $

`\text{Milk gửi ạ}`🥛😳

`\text{Đáp án:↓↓↓↓}`

`\text{Giải thích các bước giải:}`

`3/(x-m)-1/(x-2)=2/(x-2m)` `ĐK:x \ne 2m; x \ne2; x \ne m)`

`<=>(3(x-2)(x-2m))/((x-m)(x-2)(x-2m))-((x-m)(x-2m))/((x-m)(x-2)(x-2m))-(2(x-m)(x-2))/((x-m)(x-2)(x-2m))=0`

`<=>(3(x-2)(x-2m)-(x-m)(x-2m)-2(x-m)(x-2))/((x-m)(x-2)(x-2m))=0`

`<=>3x^2-6mx-6x+12m-x^2+2mx+mx-2m^2-2x^2+4x+2mx-4m=0`

`<=>(3x^2-x^2-2x^2)+(-6mx+2mx+mx+2mx)+(-6x+4x)+(12m-4m)-2m^2=0`

`<=>-mx-2x+8m-2m^2=0`

`<=>-mx-2x=2m^2-8m`

`<=>x(-m-2)=2m^2-8m`

`<=>x=(8m-2m^2)/(m+2)`