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OpenStudy (anonymous):
x=-6x+18=-12
OpenStudy (anonymous):
-12-18=-22
OpenStudy (anonymous):
is that the final answer?
OpenStudy (anonymous):
? oh, soory, -30./6=-5
OpenStudy (anonymous):
the final answer is 5 not -5
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OpenStudy (anonymous):
u put 6 instead of -6
OpenStudy (anonymous):
ok. do you have tha answer now?
OpenStudy (anonymous):
it is -5. but alright. were done here
OpenStudy (anonymous):
the absolute sign prohibits negetive 6, but do as you will.
OpenStudy (tkhunny):
−3|2(-5) + 6| = -3|-10 + 6| = -3|-4| = -3(4) = −12 Good. x = -5 checks out.
−3|2(-1) + 6| = -3|-2 + 6| = -3|4| = -3(4) = −12 Whoops. Looks like you'all missed one. x = -1.
How could you have avoided that?
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OpenStudy (tkhunny):
@hermineb @Fireflame13
OpenStudy (anonymous):
thxx Tkhunny
OpenStudy (anonymous):
thxx fireflame13 but u wasnt specific thats y i was confused
OpenStudy (anonymous):
it's fine.
OpenStudy (tkhunny):
Let's try it again:
-3|2x + 6| = −12
Stuff outside the the Absolute Values doesn't do much. Let's make our lives simpler.
|2x + 6| = 4
Common factor in the two terms inside the Absolute Values. Let's make our lives simpler.
|2x + 6| = |2(x+3)| = 2|x+3| = 4 and |x+3| = 2
That's WAY easier.
x+3 = 2 or x+3 = -2
And both solutions are easily found.