Question

|7-x|=5x+1

Answer 1

\(\Leftrightarrow\left[{}\begin{matrix}7-x=5x+1\left(x\le7\right)\\x-7=5x+1\left(x>7\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\left(tm\right)\\x=-2\left(ktm\right)\end{matrix}\right.\Leftrightarrow x=1\)