Question

Tìm x biết :

\(\left|-2\right|\) . ( x + 4 - \(\left|x-1\right|\) ) = 2 + 2x

Answer 1

Có: \(\left|-2\right|\left(x+4-\left|x-1\right|\right)=2+2x\)
\(\Leftrightarrow2\left(x+4-\left|x-1\right|\right)=2+2x\)
\(\Leftrightarrow x+4-\left|x-1\right|=x+1\)
\(\Leftrightarrow x+4-\left(x+1\right)=\left|x-1\right|\)
\(\Leftrightarrow\left|x-1\right|=3\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=3\\x-1=-3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-2\end{matrix}\right.\)