\(\left|x-5\right|=5-x\)
\(\Rightarrow\left[\begin{array}{nghiempt}5-x=x-5\\5-x=-\left(x-5\right)\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}5+5=x+x\\5-x=-x+5\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}10=2x\\x\le5\end{array}\right.\Rightarrow\left[\begin{array}{nghiempt}x=5\\x\le5\end{array}\right.\)
Vậy \(x=5\) hoặc \(x\le5\) thõa mãn đề bài .
\(\left|x-5\right|=5-x\)
\(\Rightarrow\left[\begin{array}{nghiempt}x-5=5-x\\5-x=5-x\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=5\\x\in R\end{array}\right.\)
Vậy x là số thực
\(\left|x-5\right|=5-x\)
\(\Rightarrow\left\{\frac{5-x=x-5}{5-x=-\left(x-5\right)}\right\}\)
\(\Rightarrow\left\{\frac{5+5=x+x}{5-x=-x+5}\right\}\)
\(\Rightarrow\begin{cases}10=2x\\x\le5\end{cases}\Rightarrow\begin{cases}x=5\\x\le5\end{cases}}\)