$a)|x+2|=0$
$x+2=0$
$x =0-2$
$x = -2$
$b)|x-5|=|7|$
$ ⇒\left[ \begin{array}{l}x-5=7\\x-5=-7\end{array} \right. ⇒$$\left[ \begin{array}{l}x=7+5\\x=(-7)+5\end{array} \right.⇒$ $\left[ \begin{array}{l}x=12\\x=-2\end{array} \right. $
$c)|x-3|=7-(-2)$
$|x-3|=9$
$ ⇒\left[ \begin{array}{l}x-3=9\\x-3=-9\end{array} \right. ⇒$$\left[ \begin{array}{l}x=9+3\\x=(-9)+3\end{array} \right.⇒$$ \left[ \begin{array}{l}x=11\\x=-6\end{array} \right. $
$d)(7-x)-(25+7)=-25$
$7-x=(-25)+32$
$7-x=7$
$x=7-7$
$x=0$
