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OpenStudy (diamond77108):
PLZ HELP WILL MEDAL
21/2x−3/4(2x+5)=3/8
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alones (alones):
Alright so simplify \[9x+\frac{−15 }{ 4 }=\frac{ 3 }{ 8 }\]
alones (alones):
And add \(\frac{ 15 }{ 4 }\)to sides
\[9x+\frac{ -15 }{ 4 }+\frac{ 15 }{ 4 }=\frac{ 3 }{ 8 }+\frac{ 15 }{ 4 }\]
\[9x=\frac{ 33 }{ 8 }\]
OpenStudy (diamond77108):
wait that first fraction is 2 1/2
alones (alones):
So now divide by \(9\)
\[\frac{ \frac{ 33 }{ 8} }{ 9 }\]
OpenStudy (diamond77108):
37 /18
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OpenStudy (diamond77108):
37 1/8
alones (alones):
Oh waitt so it's separate like this?
\[2\frac{ 1}{ 2 }x-\frac{ 3 }{ 4 }(2x+5)\frac{ 3 }{ 8 }\]
OpenStudy (diamond77108):
yeah
OpenStudy (diamond77108):
and it equals 3/8
OpenStudy (diamond77108):
my answers are
x=−4 5/8
x=−3 3/8
x=4 1/8
x=5 3/8
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alones (alones):
Okay so if your problem looks like this \(2\frac{ 1}{ 2 }x-\frac{ 3 }{ 4 }(2x+5)=\frac{ 3 }{ 8 }\)
Add \(\frac{ 15 }{ 4 }\)to both sides.
\[x+\frac{ -15 }{ 4 }+\frac{ 15 }{ 4}=\frac{ 3 }{ 8 }+\frac{ 15 }{ 4 }\]
which would equal
\[x=\frac{ 33 }{ 8 }\]
alones (alones):
And so as a mixed number it would be \[x=4\frac{ 1 }{ 8 }\]
alones (alones):
@diamond77108 (;
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