\[5 - x = |3 + x|\]
\[1)\ 3 + x = 5 - x\]
\[2x = 2\]
\[x = 1.\]
\[2)\ 3 + x = - 5 + x\]
\[0x = - 8\]
\[нет\ корней.\]
\[Ответ:x = 1.\]