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OpenStudy (johanna1736):
Please help
OpenStudy (fortytherapper):
\[-\frac{ 1 }{ 2 }x+3=-x+7\]
Is that it?
OpenStudy (johanna1736):
8
–8
2
OpenStudy (johanna1736):
yes.
OpenStudy (johanna1736):
Answer choices:
A. 1/2
B. 8
C. 2
D. -8
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OpenStudy (fortytherapper):
Let's turn that -x into a fraction to make it look easier
\[-\frac{ 1 }{ 2 }x+3=-\frac{ 2 }{ 2 }x+7\]
So, how could we get the 3 over to the other side of the = sign?
OpenStudy (anonymous):
take terms of x one one side and numbers on other \[x-\frac{ x }{ 2 }=7-3\]
OpenStudy (johanna1736):
We would subtract the three?
OpenStudy (fortytherapper):
Yeah, ash has already done those steps, so you can combine the like terms in his answer
OpenStudy (johanna1736):
how would we do that
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OpenStudy (fortytherapper):
Do them separately to make it easier
\[x-\frac{ x }{ 2 }=?\]
\[7-3=?\]
OpenStudy (johanna1736):
x/2 an 4
OpenStudy (fortytherapper):
Now we can replace that with
\[\frac{ x }{ 2 } = 4\]
OpenStudy (johanna1736):
Then we multiply both sides by 2?
OpenStudy (fortytherapper):
Correct
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OpenStudy (johanna1736):
soo x=4
OpenStudy (johanna1736):
8.
OpenStudy (johanna1736):
x=8?
OpenStudy (fortytherapper):
Yeah, 8, good job
OpenStudy (johanna1736):
thx
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