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

Assuming that we are talking about the usual absolute value on the reals,
the more general approach to me would be (for $z \geq 0$)
$|x|=z \Leftrightarrow |x|^2 = z^2 \Leftrightarrow x^2 = z^2$
Now in your case take $x := x-5$, $z:= 10$.
