Đáp án: `S={-5/(11)}`
Giải thích các bước giải:
`\frac{14}{3x-12}-\frac{2-x}{x-4}=\frac{3}{8-2x}-5/6`
`(ĐK: x≠4)`
`<=>\frac{14}{3(x-4)}-\frac{2-x}{x-4}-\frac{3}{-2(x-4)}=-5/6`
`<=>\frac{14}{3(x-4)} -\frac{2-x}{x-4}+\frac{3}{2(x-4)}=-5/6`
`<=> \frac{28-6(2-x)+9}{6(x-4)}=-5/6`
`<=> \frac{28-12+6x+9}{6(x-4)}=-5/6`
`<=> \frac{25+6x}{6(x-4))=-5/6`
`<=> 6(25+6x)=-30(x-4)`
`<=> 150+36x=-30x+120`
`<=> 36x+30x=120-150`
`<=> 66x=-30`
`<=> x=\frac{-30}{66}`
`<=> x=-5/(11)` (TM)
Vậy `S={-5/(11)}`
