can someone show me how to solve this:

Simplify

3
--- + 1
x-5
-----------
4
1 minus ----
x -5

that did n't look right...typo...

here it is its a fraction on top of the other so the top is fine.the bottom should read

one minus (4)/(x-5)

Get least common denominator.
For top part, the LCD is x-5. So the 1 becomes (x-5)/(x-5). Thus the top becomes (3 + x - 5)/(x - 5). This simplifies to (x-2)/(x-5).

Now do the bottom. The LCD is x-5. So the 1 becomes (x-5)/(x-5). So, the whole bottom part becomes (x-5-4)/(x-5).
This simplifies to (x-9)/(x-5).

Now you have complex fraction, where the top is: (x-2)/(x-5); and the bottom is (x-9)/(x-5). The (x-5)'s cancel, so you're left with:

(x-2)/(x-9).

To solve this expression, we first need to find the least common denominator (LCD) for the top and bottom parts separately.

For the top part, the denominator is already x-5, so we don't need to change anything. The numerator is 3 + x - 5, which simplifies to x-2. Therefore, the top part becomes (x-2)/(x-5).

For the bottom part, the denominator is 1 - (4)/(x-5). To simplify this, we multiply the numerator and denominator by (x-5) to get rid of the fraction. This gives us (x-5) - 4, which simplifies to (x - 9). So, the bottom part becomes (x-9)/(x-5).

Now that we have the top and bottom parts separately, we can combine them to form the complex fraction. The (x-5) in the numerator and denominator cancel out, leaving us with the simplified expression:

(x-2)/(x-9)