anonymous
  • anonymous
help, will fan and medal
Mathematics
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anonymous
  • anonymous
help, will fan and medal
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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anonymous
  • anonymous
Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
anonymous
  • anonymous
misty1212
  • misty1212
HI!!

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anonymous
  • anonymous
heyyy
misty1212
  • misty1212
you have to explain each step right?
anonymous
  • anonymous
yup
misty1212
  • 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 ?
anonymous
  • anonymous
lol i have no clue, I'm just learning this. i need the help also
misty1212
  • misty1212
do you know the distributive law to remove the parentheses for \[-2(3x+2)\]?
misty1212
  • misty1212
you have to multiply each term in the parentheses by \(-2\)
anonymous
  • anonymous
ooohh
misty1212
  • misty1212
what do you get?
anonymous
  • anonymous
so -6x-4
misty1212
  • misty1212
right
misty1212
  • misty1212
so \[5x-4=-6x-4\]
misty1212
  • misty1212
next step is to add \(-6x\) to both sides to get rid of it from the left
anonymous
  • anonymous
i think i remember this
anonymous
  • anonymous
or remember seeing it
misty1212
  • misty1212
what do you get when you add \(6x\) to both sides of the equation ?
anonymous
  • anonymous
10x
anonymous
  • anonymous
10x-4=-4 ?
misty1212
  • misty1212
right
misty1212
  • misty1212
now add \(4\) to both sides
anonymous
  • anonymous
would it be 0 ?
misty1212
  • misty1212
yes it would, since \(-4+4=0\)
anonymous
  • anonymous
ok
misty1212
  • misty1212
now you have \[10x=0\] which of course means that \(x=0\)
anonymous
  • anonymous
thank you sooooooooooooo much
misty1212
  • misty1212
\[\color\magenta\heartsuit\]
anonymous
  • anonymous
aaawww

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