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.

Answer 1

div both sides by -3

Answer 2

divide through by -3

Answer 3

equate left side to plus/minus right side

Answer 4

and then I have (2x + 6) = -4

im using parenthesis as absolute value signs

Answer 5

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

Answer 6

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

Answer 7

ohhhh, I forgot 3 was negative! hold on

Answer 8

-12 divided by -3 is 4

Answer 9

yes

Answer 10

\(\Huge\color{blue}{ \sf |2x + 6| = 4 }\)


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

Answer 11

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

Answer 12

2x = 4-6 = -2

Answer 13

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

Answer 14

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

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

Answer 15

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