$a) 3x -17= x+3$
$=> 3x - 17x - x - 3 = 0$
$=> 2x - 20 =0$
$=> 2x = 20$
$=> x= 10$
b) l$x-3$l $- 12=$ l$-5$l
=> l$x-3$l $- 12 = 5$
=> l$x-3$l $= 17$
=> \(\left[ \begin{array}{l}x-3=17\\x-3=-17\end{array} \right.\)
=> \(\left[ \begin{array}{l}x=20\\x=-14\end{array} \right.\)
$ c) 25 -(x-5) = -415 - (15 - 415)$
$ => 25 - x + 5 = -415 - 15 +415$
$ => 30 - x = (-415 + 415) -15$
$ => 30 - x = -15 $
$ = > x = 45$