Answer
Getting the negative expression of the right side for both equations is different.
Work Step by Step
Solving $|2x-1|=3$ and $|2x-1|=|x-5|$ are different because getting the negative expression of the right side of the first equation is straight forward (equal to $-3$). Getting the negative expression of the right side of the second equation involves using the Distributive Property (i.e. $-(x-5)$ is equal to $-1(x)-1(-5)$ which is equal to $-x+5.)$
