Question

How do you simplify `5 / (2(x-5)) + (3x) / (x-5)`?

Answer 1

`(5+6x)/(2(x-5)`

Explanation:

Notes that the denominator in both elements of the expression contain `(x-5)` which is therefore a common factor. The expression can be written as
`(1/(x-5))(5/2+3x)`
`=(1/(x-5))(5+6x)/2`

`=(5+6x)/(2(x-5)`