a) `|x+3|=0`
`⇒ x + 3 = 0`
`⇒ x = 0 - 3`
`⇒ x = -3`
b) `|x-1|=4`
`⇒` \(\left[ \begin{array}{l}x-1=4\\x-1=-4\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}x=4+1\\x=-4+1\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}x=5\\x=-3\end{array} \right.\)
c) `|x-5|=10`
`⇒` \(\left[ \begin{array}{l}x-5=10\\x-5=-10\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}x=10+5\\x=-10+5\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}x=15\\x=-5\end{array} \right.\)