\(73-3\left|x+2\right|=-47\)
th1: \(x+2\ge0\Leftrightarrow x\ge-2\)
\(\Rightarrow73-3\left|x+2\right|=-47\Leftrightarrow73-3\left(x+2\right)=-47\)
\(\Leftrightarrow73-3x-6=-47\Leftrightarrow-3x=-47-73+6=-114\)
\(\Leftrightarrow x=\dfrac{-114}{-3}=38\left(tmđk\right)\)
th2: \(x+2< 0\Leftrightarrow x< -2\)
\(\Rightarrow73-3\left|x+2\right|=-47\Leftrightarrow73-3\left(-x-2\right)=-47\)
\(\Leftrightarrow73+3x+6=-47\Leftrightarrow3x=-47-73-6=126\)
\(\Leftrightarrow x=\dfrac{126}{3}=-42\left(tmđk\right)\)
vậy \(x=38;x=-42\)
\(73-3\left|x+2\right|=-47\)
\(\Rightarrow3\left|x+2\right|=26\)
\(\Rightarrow\left|x+2\right|=\dfrac{26}{3}\)
\(\Rightarrow\left[{}\begin{matrix}x+2=\dfrac{26}{3}\Rightarrow x=\dfrac{20}{3}\\x+2=\dfrac{-26}{3}\Rightarrow x=\dfrac{-32}{3}\end{matrix}\right.\)
