How do you solve #abs(5x+3)=abs(2x-1)#?
Case 1: Both Absolute Values are positive
Case 2: The left absolute value is negative
Case 3: The right absolute value is negative
As you can see, whether the absolute value on right is negative and the other positive or the absolute value on left is negative and the other positive, both scenarios will give the same result.
Let's just check our solutions to make sure none are extraneous.
Doing all the fractal operations on this, you will find that this, as well as the other solution,
Hence, our solution set is
Hopefully this helps!