How to solve this equation? $|x-5|=10$ How to solve the following equation? $$|x-5|=10$$
Many thanks!

Surely, you must revise absolute value equations. (You can start  here.)
Anyway, as regards this particular equation, you get:
$(x-5)=10$, if $x>5$    
or
$-(x-5) = 10$, if $x<5$
Solutions: $x= -5$ or $x= +15$
(From Wolfram Alpha) Plot: 

