\(\left|7-2x\right|+5=x\\ \Leftrightarrow\left|7-2x\right|=x-5\left(1\right)\)
ĐKXĐ: \(x\ge5\)
\(\left(1\right)\Leftrightarrow\left[{}\begin{matrix}7-2x=x-5\\7-2x=-x+5\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x+2x=7+5\\-x+2x=7-5\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}3x=12\\x=2\left(ktm\right)\end{matrix}\right.\\ \Leftrightarrow x=4\left(ktm\right)\)
Vậy pt ban đầu vô nghiệm.