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Mathematics 9 Online
OpenStudy (anonymous):

help, will fan and medal

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?

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 \(-2\)

OpenStudy (anonymous):

ooohh

OpenStudy (misty1212):

what do you get?

OpenStudy (anonymous):

so -6x-4

OpenStudy (misty1212):

right

OpenStudy (misty1212):

so \[5x-4=-6x-4\]

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

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 \(-4+4=0\)

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

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