\(\left|x+7\right|=\left|x-9\right|\)
\(\Rightarrow\orbr{\begin{cases}x+7=x-9\\x+7=-x+9\end{cases}\Rightarrow\orbr{\begin{cases}x\in\varnothing\\x+x=9-7\end{cases}\Rightarrow}\orbr{\begin{cases}x\in\varnothing\\2x=2\end{cases}\Rightarrow}\orbr{\begin{cases}x\in\varnothing\\x=1\end{cases}}}\)
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