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OpenStudy (opal13):
OpenStudy (opal13):
@hafeda
OpenStudy (mathmale):
Do you know the word "consolidate?" Your equation has two x terms, which you must consolidate (group together) into one term. Likewise, your equation has two constants, which you must consolidate into one.
OpenStudy (hafeda):
same deal constant on one side and x on the other same
OpenStudy (mathmale):
First: Try adding 3x to both sides of your equation. Share your result, please.
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OpenStudy (opal13):
so you need to add 6 from both sides?
OpenStudy (mathmale):
Adding 6 to both sides (not "from" both sides) would also be an appropriate first step. Go for it.
OpenStudy (hafeda):
yes start there add 6
OpenStudy (hafeda):
lol @mathmale at the same time LMAO
OpenStudy (opal13):
4x = 3x + 14 ?
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OpenStudy (mathmale):
Please give Opal13 time to respond.
OpenStudy (mathmale):
I don't see that you've added 3x to both sides.
What is -3x + 3x?
OpenStudy (opal13):
0x or just x
OpenStudy (mathmale):
0x is correct; "just x" is not
-3x
+3x
-------
0
OpenStudy (mathmale):
Please start over. Copy down the original equation and then add 3x to both sides. Show your work, please.
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OpenStudy (opal13):
I added 6 from both sides first because I founded easier
OpenStudy (opal13):
that's why I don't have 0x
OpenStudy (mathmale):
Fine. Forget my advice for now. Add 6 to both sides. Please note: we don't "add 6 from both sides;" rather, we "add 6 to both sides."
OpenStudy (mathmale):
Your result?
OpenStudy (opal13):
4x = 3x + 14
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OpenStudy (mathmale):
But that doesn't agree with the original equation. Check this out.
OpenStudy (opal13):
Now do I need to minus 3x to both sides?
OpenStudy (mathmale):
What happened to the ' - ' sign that was before 3 in the original equation?
OpenStudy (opal13):
Well then, 4x = -3x + 14
OpenStudy (mathmale):
4x-6=-3x+8
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OpenStudy (mathmale):
That's a lot better. We need to move that -3x to the left side. To do that, add 3x to both sides.
OpenStudy (opal13):
7x = 14
OpenStudy (mathmale):
Yes, and now how would you solve that for x?
OpenStudy (opal13):
Then we need to divide 7 to both sides
OpenStudy (mathmale):
yes, that's correct.
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OpenStudy (opal13):
Which will equal to 2
OpenStudy (opal13):
Thanks a lot!
OpenStudy (mathmale):
Now you need to check your answer. Go back to the orig. equation and subst. 2 for x.
Is the equation now true? If so, your x=2 is correct.
Glad to be of help.
OpenStudy (opal13):
4 x 2 - 6 = 3 x 2 + 8
8 - 6 = 6 + 8
2 = 14
OpenStudy (mathmale):
4x-6=-3x+8
4(2)-6=-3(2)+8
Try evaluating the left side, please.
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OpenStudy (mathmale):
8-6=?
OpenStudy (opal13):
2
OpenStudy (mathmale):
Then evaluate the right side. -6+8=?
OpenStudy (opal13):
oupsss sorry
OpenStudy (opal13):
2
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