To simplify this expression, we need to first find a common denominator between the terms 5x and 1/(x-20).
The common denominator would be (x-20), so we need to rewrite 5x as (5x(x-20)/(x-20)) in order to combine it with 1/(x-20).
Therefore, we have:5x + 1/(x-20) = 5x(x-20)/(x-20) + 1/(x-20)= (5x^2 - 100x + 1)/(x-20)
So, 5x + 1/(x-20) simplifies to (5x^2 - 100x + 1)/(x-20).
To simplify this expression, we need to first find a common denominator between the terms 5x and 1/(x-20).
The common denominator would be (x-20), so we need to rewrite 5x as (5x(x-20)/(x-20)) in order to combine it with 1/(x-20).
Therefore, we have:
5x + 1/(x-20) = 5x(x-20)/(x-20) + 1/(x-20)
= (5x^2 - 100x + 1)/(x-20)
So, 5x + 1/(x-20) simplifies to (5x^2 - 100x + 1)/(x-20).