Question

Отдаю 50 баллов за решение этого уравнения
|4x+5|=|7-x|

Answer 1

$\Big|4x+5\Big|=\Big|7-x\Big|\\\\\\\left[\begin{array}{ccc}4x+5=7-x\\\\4x+5=x-7\end{array}\right\\\\\\\left[\begin{array}{ccc}4x+x=7-5\\\\4x-x=-7-5\end{array}\right\\\\\\\left[\begin{array}{ccc}5x=2\\\\3x=-12\end{array}\right\\\\\\\left[\begin{array}{ccc}x_{1} =0,4\\\\x_{2} =-4\end{array}\right\\\\\\Otvet:\boxed{0,4 \ ; \ -4}$