Answer: x-5
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Explanation
I'm assuming you want to simplify the expression. If not, then let me know otherwise.
The absolute value function f(x) = |x-5| is really two functions put together
f(x) = x-5 if [tex]x \ge 5 [/tex]
OR
f(x) = -(x-5) if x < 5
notice how f(x) changes based on what x is. If x is either 5 or greater, then we pick the top portion. If x is smaller than 5, then we pick the bottom portion.
Since x > 5 (which is effectively the same as [tex]x \ge 5[/tex] without the "or equal to" part), we pick the top equation of the two parts mentioned above.
So that's why the answer is x-5
