Simplify into one fraction -2/x+3 - 4/x-5

Multiply and divide by the product of the denominators.

You have to multiply each term by what it's missing for the denominators to both be the same.  The first term has x+3 but is missing x-5 so multiply top and bottom by x-5 and then distribute the numerator to -2x + 10.  Do the same for the other term that is missing the x+3 and distribute to get -(4x+12).  Distribute the negative in then simplify to get or simplify even further to get

Here are the answers to the ones that i could see.