Ta có:
a)\(x-14=3x+18\)
\(\Rightarrow-14-18=3x-x\)
\(\Rightarrow-32=2x\Rightarrow x=-16\)
b)\(2\left(x-5\right)-3\left(x-4\right)=-6+15.\left(-3\right)\)
\(\Rightarrow2x-10-3x+12=-51\)
\(\Rightarrow-x+2=-51\Rightarrow-x=-51-2=-53\Rightarrow x=53\)
c)\(\left(x+7\right)\left(x-9\right)=0\Rightarrow\left[{}\begin{matrix}x+7=0\\x-9=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-7\\x=9\end{matrix}\right.\)
d)\(\left|2x-5\right|-7=22\Rightarrow\left|2x-5\right|=22+7=29\)
\(\Rightarrow\left[{}\begin{matrix}2x-5=29\\2x-5=-29\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=17\\x=-12\end{matrix}\right.\)