One thing to understand about reactive oils like linseed is that once its off, you've got bucklies of disolving it with any solvent.
So
wash your brush uot promtly and thouroghly, beat out as much turps as you can then wash it again in clean clear turps. then do what ever else you do.
I do like thinners for cleaning brushes too.
If you have a brush that is getting a bit unhappy...... use it for applying contact cement then wash it out.
cheers