Question

Solve for x: -3|x + 7| = -12

Answer 1

divide both sides by -3
what do u get ?

Answer 2

\(\bf -3|x + 7| = -12\implies |x + 7| =\cfrac{-12}{-3}
\\ \quad \\
\implies
\begin{cases}
+(x+7)=\cfrac{-12}{-3}
\\ \quad \\
\bf -(x+7)=\cfrac{-12}{-3}
\end{cases}\)

solve each scenario/case for "x", thus 2 values for "x", one for each case

Answer 3

x = 5 over 3, x = −19 over 3

x = −3, x = −11

x = −3, x = 11

No solution

Answer 4

whats -12/-3 = ... ?

Answer 5

4 ?

Answer 6

yes!
when |a| = b , we get
a=b or a =-b

so when |x+7| = 4
what do u get ?

Answer 7

Uhm....- 3 ?

Answer 8

thats what you got for x+7 =4
x =-3 is correct :)

also find x from
x+7 = -4
subtract 7 from both sides, what u get ?

Answer 9

-11

Answer 10

so it would be x = −3, x = −11

Answer 11

correct! :)

Answer 12

Thank you I have like three more questions on my pre quiz, its not even being graded but could you still help out with them ?

Answer 13

sure :)
just make sure to ask new question on new post, so that if i am unavailable, others will help you :)

Answer 14

Okay! I'll close this question.