Question

How do you simplify `7 /(x-5)-(2+x)/(x-5)`?

Answer 1

`7/(x-5) - (2+x)/(x-5)`

here, the denominators are common

adding the numerators
`(7 - (2+x))/(x-5)`

`(7 - 2-x)/(x-5)`

`= (5-x)/(x-5)`
`= cancel(5-x)/-cancel((5-x))`

`= color(red)(-1`