x=3 or x=-2, from 2x-1=5 and 2x-1=-5, as |u|=5 splits into the cases u=5 and u=-5

x=2 or x=-3, from 2x+1=5 and 2x+1=-5 with the sign changed

x=3 only, because an absolute value equation has just one solution

x= frac52 or x=- frac52, from 2x=5 and 2x=-5 without the -1

Solve $∣2 x - 1∣ = 5$ .

Practise more Mathematics for the Maturita.

Free questions with an explanation for every one, and full timed Maturita (Czech Republic) mock tests.