\(2^{\left|x\right|-1}=2-\left(-30\right)\)
\(\Rightarrow2^{\left|x\right|-1}=32\)
\(\Rightarrow2^{\left|x\right|-1}=2^5\)
\(\Rightarrow\left|x\right|-1=5\)
\(\Rightarrow\left|x\right|=6\)
\(\Rightarrow x=6\) hoặc \(x=-6\)
Vậy \(x\in\left\{6;-6\right\}\)