\(73-3\left|x+2\right|=-47\)
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|x + 2| = - 47
3|x + 2| = 73 - (- 47)
3|x + 2| = 120
|x + 2| = 120 ÷ 3
|x + 2| = 40
=> x + 2 = 40 ; - 40
Trường hợp 1:
x + 2 = 40
x = 40 - 2
x = 38
Trường hợp 2:
x + 2 = - 40
x = - 40 - 2
x = - 42
Vậy x = 38 ; x = - 42
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