\(-56+\left|-x+23\right|=-41\)
\(\Leftrightarrow-56+\left|23-x\right|=-41\)
\(\Leftrightarrow\left|23-x\right|-56=-41\)
\(\Leftrightarrow\left|23-x\right|=15\)
\(\Leftrightarrow\orbr{\begin{cases}23-x=15\\23-x=-15\end{cases}\Leftrightarrow\orbr{\begin{cases}x=8\\x=38\end{cases}}}\)
Vậy \(x\in\left\{8;38\right\}\)
-56+|-x+23|=-41
|-x+23|=-41- (-56)
|-x+23|=-41+56
|-x+23|=15
=> \(\orbr{\begin{cases}-x+23=15\\-x+23=-15\end{cases}}\)
=>\(\orbr{\begin{cases}-x=15-23\\-x=-15-23\end{cases}}\)
=>\(\orbr{\begin{cases}-x=-8\\-x=-38\end{cases}}\)
=>\(\orbr{\begin{cases}x=8\\x=38\end{cases}}\)
–23 chia hết cho x – 2
