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OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
@thomaster
OpenStudy (anonymous):
@dan815
OpenStudy (anonymous):
@Compassionate
OpenStudy (phi):
\[ \frac{(x+6)}{2}-1=\frac{(x+6)}{7} \] ?
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OpenStudy (anonymous):
Yes
OpenStudy (phi):
multiply both sides by 14 (which is the common denominator of 2 and 7)
when you multiply the left side be sure to multiply 14 times *both* terms
can you do that ?
OpenStudy (anonymous):
No I can't, I don't get it
OpenStudy (phi):
to multiply (without simplifying) write 14 * next to each term
can you do that ?
OpenStudy (anonymous):
Yes, one moment please
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OpenStudy (anonymous):
14(x+6)/2-1=(x-6)14/7
OpenStudy (phi):
ok but you forgot the 1
OpenStudy (anonymous):
I have to multiply 4 by one too?
OpenStudy (phi):
yes,
if you have
1+1 =2
and you multiply both sides by 14
you do
14*1 + 14*1 = 2*14
which (if you work it out) is still true.
if you just did
14*1 + 1 = 2*14
it's gone horribly wrong.
OpenStudy (anonymous):
Is it -8?
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OpenStudy (phi):
so you should have
14(x+6)/2-14*1=(x-6)14/7
OpenStudy (phi):
\[ \frac{14(x+6)}{2} - 14 = \frac{14(x-6)}{7} \\
\frac{14}{2}(x+6) - 14 = \frac{14}{7}(x-6)
\]
now simplify 14/2
on the left side
and 14/7 on the right side
can you do that?