Tg (x+pi/4) + 2tg (x-pi/4) = 1

(tgx+1) / (1-tgx) + 2 (tgx-1) / (tgx+1) = 1

- (tgx+1) / (tgx-1) + 2 (tgx-1) / (tgx+1) = 1

-tg²x-2tgx-1+2tg²x-4tgx+2=tg²x-1 tgx≠1 U tgx≠-1

tg²x-6tgx+1-tg²x+1=0

6tgx=2

tgx=1/3⇒x=arctg1/3+πn