Question

Solve for x, $||x-1|-2|=|x-3|$

Answer 1

$||x-1|-2|=|x-3|$

$||x-1|-2|$

$=|x-1-2|$

$=|x-3|$

$\therefore |x-3|=|x-3|$

The above equation satisfies the condition if and only if $x=3$