Final answer:
To simplify the expression (2)/(x+3)+5, rewrite 5 as a fraction with the denominator (x+3) resulting in the expression (2 + 5(x+3))/(x+3). Combine like terms to get (5x + 17)/(x+3) as the simplified form.
Step-by-step explanation:
To simplify the expression (2)/(x+3)+5, we need to manipulate the expression so that it is in a more easily understandable form. Currently, we have a fraction and a whole number, so we cannot combine them directly. We need to find a common denominator in order to combine the terms. Since the only denominator present is (x+3), we use this as our common denominator.
We can rewrite the whole number 5 as a fraction with the denominator (x+3). To do this, we multiply 5 by (x+3)/(x+3), which gives us 5(x+3)/(x+3). Now, the expression is:
(2)/(x+3) + 5(x+3)/(x+3)
Next, we combine the numerators to get a single fraction:
(2 + 5(x+3))/(x+3)
Expanding the numerator gives us:
(2 + 5x + 15)/(x+3)
And combining like terms in the numerator:
(5x + 17)/(x+3)
So, the simplified expression is (5x + 17)/(x+3).