In order to solve the equation -3x - 6 = 5, the first step is to:
add 6 to both sides
divide by 5 on both sides
subtract 6 from both sides
multiply by 5 on both sides
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OpenStudy (fibonaccichick666):
what do you think?
OpenStudy (anonymous):
I add 6 to both sides.
OpenStudy (fibonaccichick666):
yup
OpenStudy (anonymous):
-2x - 15 = 6x + 9
3
-3
-1
6
OpenStudy (fibonaccichick666):
what do you think?
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OpenStudy (anonymous):
Idkk im confused.
OpenStudy (fibonaccichick666):
so what is your first step?
OpenStudy (anonymous):
i think you add 15 to both sides but idk.
OpenStudy (fibonaccichick666):
that works
OpenStudy (fibonaccichick666):
go ahead, and what do you get?
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OpenStudy (anonymous):
do you add it to 15 and 6?
OpenStudy (fibonaccichick666):
? I don't understand that comment
OpenStudy (anonymous):
Like what are you adding 15 to?
OpenStudy (anonymous):
the 15 and 6 right?
OpenStudy (fibonaccichick666):
both sides, you don't add it to anything in particu;lar, just tack it on the end
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OpenStudy (fibonaccichick666):
ie 4v+7=12
4v-7+7=12-7
OpenStudy (anonymous):
woah where did that come from lol
so far i think i have it but ill show you
-2x-30=21x+9
-32x=21x+9
-32=30x?
OpenStudy (anonymous):
Idkim so confused.
OpenStudy (fibonaccichick666):
not quite
OpenStudy (anonymous):
ofcourse not lol.
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OpenStudy (fibonaccichick666):
-2x - 15 = 6x + 9 so add 15 is good, but you do it like this
\[-2x - 15 = 6x + 9\]\[-2x-15+15=6x+9+15\]
OpenStudy (fibonaccichick666):
now simplify
OpenStudy (anonymous):
so the first half is -2?
OpenStudy (fibonaccichick666):
no, you can't just drop the variable,
OpenStudy (fibonaccichick666):
make sure you keep it
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OpenStudy (anonymous):
omgg that is dumb. So -2x=30x? is that wrong. or what im about to give up
OpenStudy (fibonaccichick666):
you have the left, now lets work on the right. so we need to simplify(aka combine like terms) 6x+9+15
OpenStudy (fibonaccichick666):
so let me make it a little more obvious:
\[6x+(9+15)\]
OpenStudy (fibonaccichick666):
^I can do that because addition is associative ^
OpenStudy (anonymous):
so then itll be 6x+24?
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OpenStudy (fibonaccichick666):
yep, so now you have \[-2x=6x+24\]
OpenStudy (anonymous):
yea
OpenStudy (fibonaccichick666):
what do you think you do now?
OpenStudy (anonymous):
subtract -2?
OpenStudy (fibonaccichick666):
no, remember we are getting all of the like terms together, so how could you get the 6x to the left side?
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OpenStudy (anonymous):
umm, maybe adding the like terms?
OpenStudy (anonymous):
or subtracting
OpenStudy (fibonaccichick666):
well, if I added 6x to both sides, what would I get? how about if I subtract?
OpenStudy (anonymous):
-2x+6x=4
-2x-6x=-8
OpenStudy (anonymous):
oh wait haha read that wrong. i think.
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OpenStudy (fibonaccichick666):
what happened to the 24 on the right?
OpenStudy (anonymous):
-2x+24 = 22
=2x-24=-26
OpenStudy (anonymous):
right?
OpenStudy (fibonaccichick666):
no
OpenStudy (fibonaccichick666):
stahp
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OpenStudy (fibonaccichick666):
ok, you have the left correct two steps back, but you changed the right. Don't it should be 24
OpenStudy (anonymous):
would x = 18?
OpenStudy (fibonaccichick666):
and you cannot add something with an x in it and something without an x
OpenStudy (fibonaccichick666):
no
OpenStudy (fibonaccichick666):
go back to here
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OpenStudy (fibonaccichick666):
-2x+6x=4
-2x-6x=-8
OpenStudy (anonymous):
omgggg i hate math.
OpenStudy (fibonaccichick666):
now, change the right to 24
OpenStudy (fibonaccichick666):
you just have not learned the rules yet
OpenStudy (anonymous):
what do you mean change it to 24?
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