$a,2.(x-5)-3.(x-4)=-6+15.(-3)$
$⇒2x-10-3x+12=-51$
$⇒-x+2=-51$
$⇒-x=-53$
$⇒x=53$
$b,(x+7)(x-9)=0$
\(⇒\left[ \begin{array}{l}x+7=0⇒x=-7\\x-9=0⇒x=9\end{array} \right.\)
$c,|2x-5|-7=22|$
$⇒|2x-5|=29$
$⇒2x-5=±29$
\(⇒\left[ \begin{array}{l}2x-5=29⇒2x=34⇒x=17\\2x-5=-29⇒2x=-24⇒x=-12\end{array} \right.\)