Question

How do you solve `2/(x-6)+6= x/(x-6)`?

Answer 1

`x=34/5`

Explanation:

`2/(x-6) + 6 = x/(x-6)`

`=> (2+6(x-6))/color(red)cancel(color(black)(x-6)) = x/color(red)cancel(color(black)(x-6))`

`=> 2+6x-36 = x`

`=> 6x-x-36+2=0`

`=> 5x=34`

`=> x=34/5`