Question:
Given that $x < 5$, rewrite $5x - |x - 5|$ without using absolute value signs.

Answer:
Since $x<5,$ $x-5<0.$ It follows that $|x-5|=-(x-5),$ and the equation can be simplified as  \[5x-|x-5|=5x+(x-5)=\boxed{6x-5}.\]