a) \(30\left(x+2\right)-6\left(x-5\right)-24x=100\)
\(\Leftrightarrow30x+60-6x+30-24x=100\)
\(\Leftrightarrow\left(30x-6x-24x\right)+\left(60+30\right)\)
\(\Leftrightarrow x\left(30-6-24\right)+90=100\)
\(\Leftrightarrow0x+90=100\)
\(\Leftrightarrow0x=100-90\)
\(\Leftrightarrow0x=10\)
\(\Rightarrow\)Không có x thoả mãn.
b) \(|2x-5|=13\)
\(\Rightarrow\orbr{\begin{cases}2x-5=13\\2x-5=-13\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=18\\2x=-8\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=9\\x=-4\end{cases}}\)
Vậy \(x\in\left\{-4;9\right\}\)
c) \(52-|x|=80\)
\(\Leftrightarrow|x|=52-80\)
\(\Leftrightarrow|x|=-28\)
Vì \(|x|\ge0\)
\(\Rightarrow\)Không có x thoả mãn.
