Question

Solve the following equation:
3x+1/x-2 = -6/11​

Answer 1

Hence, the value of x is 1/39.

Explanation:

`\sf \leadsto (3x + 1)/(x - 2) = (-6)/(11)`

`\sf \leadsto 11(3x + 1) = -6(x - 2)`

`\sf \leadsto 33x + 11 = -6x + 12`

`\sf \leadsto 33x + 6x = 12 - 11`

`\sf \leadsto 39x = 1`

`\sf \leadsto x = (1)/(39)`