Mathematics
9 Online
OpenStudy (anonymous):
help, will fan and medal
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OpenStudy (anonymous):
Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
OpenStudy (anonymous):
@Abhisar @ganeshie8
OpenStudy (misty1212):
HI!!
OpenStudy (anonymous):
heyyy
OpenStudy (misty1212):
you have to explain each step right?
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OpenStudy (anonymous):
yup
OpenStudy (misty1212):
ok step one is to remove the parentheses on the right hand side of the equal sign using the distributive property
what do you get ?
OpenStudy (anonymous):
lol i have no clue, I'm just learning this. i need the help also
OpenStudy (misty1212):
do you know the distributive law to remove the parentheses for
\[-2(3x+2)\]?
OpenStudy (misty1212):
you have to multiply each term in the parentheses by \(-2\)
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OpenStudy (anonymous):
ooohh
OpenStudy (misty1212):
what do you get?
OpenStudy (anonymous):
so -6x-4
OpenStudy (misty1212):
right
OpenStudy (misty1212):
so
\[5x-4=-6x-4\]
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OpenStudy (misty1212):
next step is to add \(-6x\) to both sides to get rid of it from the left
OpenStudy (anonymous):
i think i remember this
OpenStudy (anonymous):
or remember seeing it
OpenStudy (misty1212):
what do you get when you add \(6x\) to both sides of the equation ?
OpenStudy (anonymous):
10x
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OpenStudy (anonymous):
10x-4=-4 ?
OpenStudy (misty1212):
right
OpenStudy (misty1212):
now add \(4\) to both sides
OpenStudy (anonymous):
would it be 0 ?
OpenStudy (misty1212):
yes it would, since \(-4+4=0\)
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OpenStudy (anonymous):
ok
OpenStudy (misty1212):
now you have \[10x=0\] which of course means that \(x=0\)
OpenStudy (anonymous):
thank you sooooooooooooo much
OpenStudy (misty1212):
\[\color\magenta\heartsuit\]
OpenStudy (anonymous):
aaawww