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Mathematics 5 Online
OpenStudy (opal13):

Please help me!!!

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.

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 ?

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.

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

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

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.

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.

OpenStudy (mathmale):

8-6=?

OpenStudy (opal13):

2

OpenStudy (mathmale):

Then evaluate the right side. -6+8=?

OpenStudy (opal13):

oupsss sorry

OpenStudy (opal13):

2

OpenStudy (mathmale):

Is 2=2 true?

OpenStudy (opal13):

yep

OpenStudy (mathmale):

Therefore your x=2 is correct. Congrats!

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