Solve for x: −3|2x + 6| = −12
A) x = 1 and x = 5
B) x = −1 and x = −5
C) x = −9 and x = 3
D) no solution

I got x = 5, x = -5.

Question

Solve for x: −3|2x + 6| = −12 
A) x = 1 and x = 5 
B) x = −1 and x = −5 
C) x = −9 and x = 3 
D) no solution 

I got x = 5, x = -5.

solomonzelman · Answer

div both sides by -3

anonymous · Answer

divide through by -3

anonymous · Answer

equate left side to plus/minus right side

anonymous · Answer

and then I have (2x + 6) = -4

im using parenthesis as absolute value signs

solomonzelman · Answer

hold on!     -12 divided by -3 equals what ?

anonymous · Answer

It would be 2x + 6 = -4 or 2x + 6 = 4

anonymous · Answer

ohhhh, I forgot 3 was negative! hold on

anonymous · Answer

-12 divided by -3 is 4

solomonzelman · Answer

yes

solomonzelman · Answer

$\Huge\color{blue}{ \sf    |2x + 6| = 4 }$


$\Huge\color{blue}{ \sf    2x + 6 = 4 }~~~~or~~~~$$\Huge\color{blue}{ \sf    2x + 6 = -4 }$  solve each equation

anonymous · Answer

then I get 5 and negative 5.....like what I had in the first place

anonymous · Answer

2x = 4-6 = -2

solomonzelman · Answer

hold on, what do you get for the first equation where the 4 is positive?

texaschic101 · Answer

2x + 6 = 4
2x = 4 - 6
2x = -2
x = -1

2x + 6 = -4
2x = -4 - 6
2x = -10
x = -5

anonymous · Answer

ohhh, I did that the wrong way around. thank you I get it now