Mathematics
9 Online
OpenStudy (narissa):
help
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OpenStudy (narissa):
OpenStudy (narissa):
@Data_LG2
OpenStudy (michele_laino):
we have to solve your equation, first
OpenStudy (narissa):
im on here because this is way too hard
OpenStudy (michele_laino):
If I apply the distributive property of multiplication over addition, at the left side, I can write this:
\[4x + 2x - 6 = 8x + 12\]
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OpenStudy (narissa):
k
OpenStudy (michele_laino):
now, at the left side, I sum similar terms, so I get:
\[6x - 6 = 8x + 12\]
OpenStudy (narissa):
k thats a little easy
OpenStudy (michele_laino):
ok! Now I subtract \(6x\) from both sides, so I write this:
\[6x - 6 - 6x = 8x + 12 - 6x\]
please try to simplify
OpenStudy (narissa):
x-6=2x+12
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OpenStudy (narissa):
??
OpenStudy (michele_laino):
right side is correct!
left side: please keep in mind that \(6x-6x=0\) so we remain with \(-6\) only
In other words we have:
\[ - 6 = 2x + 12\]
OpenStudy (narissa):
ok
OpenStudy (narissa):
so its one?
OpenStudy (michele_laino):
Now I subtract 12 from both sides, so I can write this:
\[ - 6 - 12 = 2x + 12 - 12\]
please try to simplify
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OpenStudy (narissa):
-6=2x
OpenStudy (michele_laino):
right side is correct!
left side: -6-12=-18, so we have:
\[ - 18 = 2x\]
OpenStudy (narissa):
ok its confusing sometimes
OpenStudy (michele_laino):
no worries! Is it clear now?
OpenStudy (narissa):
a little so theres only one solution?
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OpenStudy (michele_laino):
yes!
OpenStudy (narissa):
ok thank u i have 2 others and 2 that need to be checked
OpenStudy (michele_laino):
if we divide both sides by \(2\) we get:
\[\frac{{ - 18}}{2} = \frac{{2x}}{2}\]
OpenStudy (michele_laino):
ok!
OpenStudy (narissa):
can i tag u?
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OpenStudy (michele_laino):
yes!
OpenStudy (narissa):
thanks sooo much
OpenStudy (michele_laino):
:)