\(\left|-2x+7\right|=x+4\)
\(\Rightarrow-2x+7=\pm\left(x+4\right)\)
+) \(-2x+7=x+4\)
\(\Rightarrow-2x-x=4-7\)
\(\Rightarrow-3x=-3\)
\(\Rightarrow x=1\)
+) \(-2x+7=-\left(x+4\right)\)
\(\Rightarrow-2x+7=-x-4\)
\(\Rightarrow-2x+x=-4-7\)
\(\Rightarrow-x=-11\)
\(\Rightarrow x=11\)
Vậy \(x=1\) hoặc \(x=11\)