Apologies if this is posted in the wrong section.

I am trying to find the limit, as x approaches 3, of

$\displaystyle

(|5-2x|-|x-2|)/(|x-5|-|3x-7|)

$

Normally I would multiply/factorise/otherwise rearrange, but unfortunately I seem to have no clue how to add/multiply etc the modulus sections. Any suggestions would be much appreciated

Ivar

Ps: I'm not fussed about the actual answer (my calculator says it's -1/4) but interested in how to deal with the modulus parts