a/ \(\left|2x-2\right|=x+18\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-2=x+18\\2x-2=-x-8\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-x=18+2\\2x+x=-8+2\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=20\\3x=-6\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=20\\x=-2\end{matrix}\right.\)
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b/ \(\left|2x-8\right|+4x=16\)
\(\Leftrightarrow\left|2x-8\right|=16-4x\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-8=16-4x\\2x-8=-16+4x\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+4x=16+8\\-8+16=4x-2x\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}6x=24\\8=2x\end{matrix}\right.\)
\(\Leftrightarrow x=4\)
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(x -1) là:
