Absolute value equations, need HELP. Solve for x: -3|2x + 6| = -12

Question

Absolute value equations, need HELP.                   Solve for x: -3|2x + 6| = -12

anonymous · Answer

options:                                                                                                                           
 A. x=1 and x=5                                                                                                                              
    B: X=-1 and x= -5                                                                                                                   
      C: x=-9 and x =3                                                                                                                   
 D: no solution

anonymous · Answer

Answer is A

anonymous · Answer

$$-3\left| 2x+6 \right|= -12$$ $$2\left| x+3 \right|=\frac{ -12 }{ -3 } = 4$$ $$\left| x+3 \right|=2$$$$\begin{matrix}x+3=2\rightarrow x=-1 \ x+3=-2\rightarrow x=-5\end{matrix}$$