Question

| 5+x | +x=-5

Answer 1

\(\left|5+x\right|+x=-5\)

\(\Rightarrow\left|5+x\right|=-5-x\)

\(\Rightarrow\left[{}\begin{matrix}5+x=5+x\\-5-x=5+x\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\)

Answer 2

\(\Rightarrow\left|5+x\right|=-5-x\)

\(\Rightarrow\left[{}\begin{matrix}5+x=5+x\\-5-x=5+x\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\)