Mathematics
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OpenStudy (anonymous):
@mathslover
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OpenStudy (anonymous):
mathslover (mathslover):
You have to use distributive property here : a(b+c) =ab +ac
Can you expand 4(x-6) first?
OpenStudy (anonymous):
no?
mathslover (mathslover):
I can write : 4(x-6) as 4(x) - 4(6)
= 4x - 24
Similarly expand 6(x+2) now.
OpenStudy (anonymous):
6x-12?
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mathslover (mathslover):
Why "-" there?
mathslover (mathslover):
6(x) + 6(2) = 6x + 12
OpenStudy (anonymous):
oo
mathslover (mathslover):
Okay now you have :
4x - 24 + 4 = 6x + 12 -6
mathslover (mathslover):
Can you just simplify it now?
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OpenStudy (anonymous):
4x-28=6x+6
mathslover (mathslover):
Hmm no :(
What is -24 + 4?
OpenStudy (anonymous):
oooo
OpenStudy (anonymous):
-20
mathslover (mathslover):
Yes :) ...
correct your expression.
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mathslover (mathslover):
You get : 4x - 20 = 6x + 6
mathslover (mathslover):
Now solve for x.
OpenStudy (anonymous):
idk how to;/
mathslover (mathslover):
okay no problem. I will teach you :
You have : 4x - 20 = 6x + 6
Add 20 both sides
4x - 20 + 20 = 6x + 6 + 20
=> 4x = 6x + 26
right?
OpenStudy (anonymous):
yes
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mathslover (mathslover):
Now subtract 6x both sides
4x - 6x = 6x - 6x + 26
What is 6x - 6x ?
OpenStudy (anonymous):
0
mathslover (mathslover):
And what is 4x - 6x?
OpenStudy (anonymous):
-2
mathslover (mathslover):
Oh again .... You should not cancel x there.
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OpenStudy (anonymous):
-2x
mathslover (mathslover):
\(\bf{-2x}\) will be equal to 4x - 6x.
OpenStudy (anonymous):
thats the answer?
mathslover (mathslover):
Good you have now :
-2x = 26
mathslover (mathslover):
Now divide both sides by -2
x = 26/-2 = -13
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OpenStudy (anonymous):
thats it
mathslover (mathslover):
Yes :)