Question

Simplify 3/2x+5+5/x-5

Answer 1

1. Simplify 3/2x to 3x/2
3x/2 + 5 + 5/x - 5

2. Collect like terms
3x/2 + (5 - 5) + 5/x

3. Simplify
3x/2 + 5/x

4. Cross multiply
3xx + 5 * 2/2x

5. Use "product rule"
3x^2 + 5 * 2/2x

6. Simplify 5 * 2 to 10
3x^2 + 10/2x

Answer 2

Assuming that you meant "(3/2)x+5+5/x-5," group together the x terms and then group together the constant terms:

(3/2)x +5 - 5 + 5/x

This becomes (3/2)x + 5/x.  You can leave your answer in this form, or you could sum up the 2 terms into one using the LCD 2x.

Then your (3/2)x + 5/x  becomes    (2x)(3/2)x + (2x)(5/x)
                                                       --------------------------------
                                                                     2x

or 3x^2 + 10
    --------------
         2x