Solve 7x − 2(x + 1) = 6x + 14. (5 points)

−12
12
−16
16

Question

Solve 7x − 2(x + 1) = 6x + 14. (5 points)

 
	−12
	12
	−16
	16

impracticaljoker · Answer

@jhonyy9

impracticaljoker · Answer

@quickstudent

jhonyy9 · Answer

like a first step distribute these parentheses

impracticaljoker · Answer

Wouldn't that just be make 7x into 8x?
That wasn't very descriptive.

jhonyy9 · Answer

no

multiplie the 2 by x and by 1 inside parentheses

quickstudent · Answer

So here's the equation
7x - 2(x + 1) = 6x + 14

jhonyy9 can you let me explain this time? :)

jhonyy9 · Answer

ok. was my pleasure joker 

good luck bye bye

impracticaljoker · Answer

:)

quickstudent · Answer

7x - 2(x + 1) = 6x + 14
So yes, you do have to start by using the distributive property. Look:
7x - 2(x + 1) = 6x + 14
7x (-2 * x) + (-2 * 1) = 6x + 14
7x - 2x - 1 = 6x + 14

Get it?

impracticaljoker · Answer

Yes, distributing is kind of confusing but I get what you're saying

impracticaljoker · Answer

Next combine like terms right?

quickstudent · Answer

Yep:)

impracticaljoker · Answer

There are 3 x's this time.
Do we make all those into one.

quickstudent · Answer

Woops, I made one mistake. Here's the correction:
7x - 2x - 2 = 6x + 14

quickstudent · Answer

You can only combine what is on one side of the equals sign. So the 7x and -2x can be combined, but not 6x.

quickstudent · Answer

@ImpracticalJoker ?

impracticaljoker · Answer

Sorry! My internet crashed

quickstudent · Answer

Oh, that's what I thought

impracticaljoker · Answer

How would we combine a positive and a negative?

quickstudent · Answer

It's simple.   combining 7x and -2x is the same as doing 7x - 2x.    what should it equal?

impracticaljoker · Answer

5

impracticaljoker · Answer

5x

quickstudent · Answer

Yes, so now we have 
5x - 2 = 6x + 14

impracticaljoker · Answer

5x - 2 = 6x + 14

quickstudent · Answer

Yes!  so do you know what to do now?

quickstudent · Answer

Looks like your internet is not working again:(.  OK then, here's the rest for you to understand:
5x - 2 = 6x + 14
5x - 2 - 5x = 6x + 14 - 5x
-2 = x + 14
-2 - 14 = x + 14 - 14
-16 = x

Do you get it? If there's anything you see that you don't understand, just ask:)

impracticaljoker · Answer

I get it.My internet is acting up for some reason

impracticaljoker · Answer

Can you help with some more?

quickstudent · Answer

Sure, post it:)

impracticaljoker · Answer

How many solutions does the following equation have?

|4x + 12| = 0 (5 points)

	No solution
	One solution
	Two solutions
	Infinitely many solutions

quickstudent · Answer

Hmm, sorry, I don't remember how to do this one:(
Open this in a new question and I'll see if I can tag someone

impracticaljoker · Answer

ok