solve. please show me how you got this.... I am so lost I need step by step help!
-15 (3 + x) = -6x -9

- anonymous

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- anonymous

How far did you get?

- anonymous

ok first you are goign to distribute the -15 into (3+x) and end up with
-45-15 x=-6x-9

- anonymous

Now we want to get all veribles and constants on oppist sides

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- anonymous

and you end up with 9-45=15x-9x

- anonymous

simplify you get -36=6x and because we are solving for x we will divide -36 by 6 and end up with x=-6

- anonymous

I started with -15 * 3 and then -15 * x to get rid of ( )
Thank you so much.... I have a few more probs I am stuck on too if your free....

- anonymous

I had it started right but didn't know what to do next. That is my problem every time.

- anonymous

Sure ask away

- anonymous

2 ( 7x + 5) = 3x -11 (2 - x)

- anonymous

ok remember first you want to distribute the 2 into (7x+5) and the -11 into the (2-x)

- anonymous

I got to 14x + 10 = 3x -22 - 11x

- anonymous

Perfect. Now just get all your x terms on one side, and the non-x terms on the other.

- anonymous

ok move your simplify both sides

- anonymous

Oh, except when you multipied the -11 to the -1 it should have be a +11x

- anonymous

err -11 to the -x rather

- anonymous

No, the 11 wasn't distributed correctly, the right side should be 3x -22 + 11x.

- anonymous

so its -11 times - x ??

- anonymous

Yes.

- anonymous

You get 14x + 10 = 14x - 22, if you subtract 14x from each side you get 10 = -22, which is false.

- anonymous

-11(2-x) = -11(2) + (-11)(-x)

- anonymous

anyone still here?

- anonymous

I can give it a go

- anonymous

2 ( 7x + 5) = 3x -11 (2 - x)

- anonymous

ok the first thing you want to do is to distribute the 2 through (7x+5)

- anonymous

I think I got it all the way until 14x + 10 = 3x -22 + 11

- anonymous

You mean 11x. There's an x there too, but everything else is correct

- anonymous

put an x on your +11

- anonymous

yes sorry

- anonymous

now bring the 3x over with the 11x and your number terms to the other side

- anonymous

then simplify both sides transpose your varibles and constansts and simplify again

- anonymous

what @ the 14 x on the left?

- anonymous

when you move things from one side to another, you have to first change the sign of the thing you're moving. the 3x will become negative

- anonymous

so 14x - 3x + 10 on the left?

- anonymous

yep. Now you can take the 10 over to the other side in the same way. change the sign, and then you can switch it over to the other side. from there, just add stuff and let me know what you get

- anonymous

11x=-32 + 11x

- anonymous

now -11 from both sides?

- anonymous

yes

- anonymous

how can I subtract 11x from 11 I thought you could only do like terms?

- anonymous

you meant to write 11x, remember? now you can subtract 11x from it

- anonymous

11x - 11x ??

- anonymous

Yea. the 11x-11x will cancel, leaving you with a false statement

- anonymous

Yea it's a false statement, kinda a trick problem

- anonymous

k how @ -10 - 3/7 x = 5

- anonymous

Start out the same way getting your varibles and constansts on different sides

- anonymous

you end up with -3/7x=15

- anonymous

Have you been taught how to cancel out a fraction?

- anonymous

I don't know all these rules and when to use them confuse me very BAD!!

- anonymous

if you move something to one side of the = sign,do you have to move something back over to replace it?

- anonymous

Inorder to cancel out the fraction we are going to multiply 7*-3 then divide by 7 which will leave us with -3x=15*7, which is -3x=105, now divide both sides by -3 and we end up with x=-35

- anonymous

No just remember whatever you do to one side you have to do to the other.

- anonymous

so if we have something like 2+x=1 we are going to subtract both sides by 2 which will give us an answer of x=-1

- anonymous

k that makes sense

- anonymous

so does -4/13 x = -20 come out to be.... x = -65 ???

- anonymous

But like we did above we want to cancel out the fraction so we first need to find a lcm for the equation. This is easy to do because we only have one fraction in the problem. So we first multiply the numerator times the lcm then divide the new numerator by the lcm

- anonymous

but we have to also multiply the other side by the lcm

- anonymous

I just realized that can't be right.... it would have to be a positive number wouldn't it?

- anonymous

correct it would be x=65

- anonymous

okay.... YAY!!!

- anonymous

how @ x - 4/11 = 3/5 would it be x = 53/55

- anonymous

or x = 3/5 ??

- anonymous

53/55 i think.....

- anonymous

i agree

- anonymous

okay you are ahuge help. Thank you...

- anonymous

No problem best of luck to you

- anonymous

you know anything @ set builder notation???

- anonymous

Yes

- anonymous

what would -5x -4 < 3 ( x - 3) be in set builder notation?

- anonymous

First distribute your 3 like you were before. You want to get some expression for x either greater or less than something else.

- anonymous

brb, in a few mins

- anonymous

Ok, back sorry. Did you distribute the 3?

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