Question

135-|2x-18|+x=141

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Answer 1

Ta có: \(135-\left|2x-18\right|+x=141\)

\(\Leftrightarrow-\left|2x-18\right|+135+x=141\)

\(\Leftrightarrow-\left|2x-18\right|=141-135-x\)

\(\Leftrightarrow\left|2x-18\right|=x-6\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-18=x-6\left(x\ge9\right)\\2x-18=6-x\left(x< 9\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x-x=-6+18\\2x+x=6+18\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=12\left(nhận\right)\\x=8\left(nhận\right)\end{matrix}\right.\)