\(\left|x-7\right|=2x+3\)
\(ĐK:x\ge-\dfrac{3}{2}\)
Sra \(x-7=2x+3\) hoặc \(7-x=2x+3\)
Xét \(x-7=2x+3\)
\(\Leftrightarrow x=-10\) ( ktm )
Xét \(7-x=2x+3\)
\(\Leftrightarrow-3x=4\)
\(\Leftrightarrow x=-\dfrac{4}{3}\) ( tm )
Vậy \(S=\left\{-\dfrac{4}{3}\right\}\)