Question

What is the value of x?
6(-3-x)-2x=14

Answer 1

@bibby

Answer 2

Start by distributing
\[\rm~(6)(−3)+(6)(−x)−2x=14\]

Answer 3

ok

Answer 4

6 x -3= ?

Answer 5

-18

Answer 6

6 x -X =?

Answer 7

im confused

Answer 8

On what?

Answer 9

the last reply you put up

Answer 10

6 times -x put the 2 together to get -6x

Answer 11

\[\huge~\rm~−18−6x−2x=14\]
Combine like terms
\[\huge~\rm(−6x−2x)+(−18)=14\]

Answer 12

Maybe instead of using x for multiplication, we could stick to using the parenthesis.

Have you seen this notation before?

6(3) = 18?

Answer 13

-6-2=?

Answer 14

-8

Answer 15

and yes @Hitaro9

Answer 16

\[\huge~\rm~−8x−18=14\]
Now add 18 to both sides.
14+18=?

Answer 17

32

Answer 18

good
-8x=32
divide both sides by -8 :)
32/-8=?

Answer 19

-4

Answer 20

Good so you get x=-4 :)

Answer 21

So were you having trouble with how to solve 6(-3-x) ?

Answer 22

Thank you @pooja195

Answer 23

np :)
@Hitaro9 I think they understand. It was my mistake I shouldn't have put the x's as multiplication signs.

Answer 24

No @Hitaro9, I was just confused with poojas response

Answer 25

factoring and distributing
\(\large ☻(☺+♥) = ☻☺+☻♥ \\ \text {this is distributing}\)


\(\large ☻☺+☻♥= ☻(☺+♥) \\ \text{this is factoring, } \\ \text{☻ was common from both terms and factored out.}\)

Answer 26

Alright. What was snagging you originally? Why'd you need to come to openstudy for help?

Answer 27

trying to figure out what the value of x was in a bunch of problems.

Answer 28

If you have more feel free to tag me i'll help you out! :)

Answer 29

mataji,
it'd be better if you show your attempt first :)
Thanks.

Answer 30

Ok, Thanks again @pooja195

Answer 31

yw

Answer 32

Right, that was the goal of the problem, what was keeping you from getting to it?

Answer 33

Trying to figure out how to do the main problem

Answer 34

So are you uncertain about variables in general?

If I asked you to solve x+3 =5, would you be able to solve for x?

Answer 35

What is the value of x?
10x+4=12x-16

Answer 36

Yes. Very confused in general

Answer 37

Have you attempted it? Can you show your steps ? Show what you know :)

Answer 38

heard of "combining like terms" ?

first find out which terms are "like"

Answer 39

Okay. Rather than get bogged down in these larger problems, let's focus on an easier problem so we can get the concepts

Answer 40

No @Hitaro9

Answer 41

That was to your last question sorry

Answer 42

What is the value of x? 10x+4=12x-16

Answer 43

Okay so Durgamata. Can you tell me about what a variable is?

What can you tell me about x?

Answer 44

Umm, X is a letter. LOL jk

Answer 45

X substitutes values

Answer 46

Good, awesome. So X subsitutes numbers. Can it substitute all numbers?

Answer 47

Yes.....

Answer 48

Right, cool. Now, we can plug any number in for X, but not every number will be correct.

If I asked you to sub in a couple number in to

X > 10

Can you think of a couple examples where that's true, and where that isn't?

Answer 49

Idk honestly. Im pretty sure it will only substitute certain numbers

Answer 50

Okay then, can you expand on that a bit? Why do you think that?

Answer 51

Because, there are some numbers that won't be able to be substituted. They're to important

Answer 52

x+15=8
What is the value of X?

Answer 53

Subtract 15 from both sides

Answer 54

So X can substitute numbers right? How about we try a few? Guess and check some numbers for me.

Answer 55

That's my question. How would I answer it? Can you walk me through step by step?

Answer 56

7

Answer 57

Okay, how'd you get 7?

Answer 58

8-15=?

Answer 59

15-8

Answer 60

no 8-15

Answer 61

Okay, that's good, we're starting to see relationships in the equations.

Answer 62

-7 sorry I did it backwards

Answer 63

its ok thats correct :)

Answer 64

With these problems we can always plug in and check to see how we did.

Answer 65

So that would be my answer?

Answer 66

You did steps wrong

Answer 67

How?

Answer 68

What are the steps?

Answer 69

Subtract 12x from both sides.
\[\huge~\rm~10x+4−12x=12x−16−12x\]What are you left with ?
\[\huge~\rm~−2x+4=−16\]

Answer 70

Now you can solve for x

Answer 71

So Durgamata, if I asked you to find 3 numbers that worked for X > 10, and 3 numbers that didn't work, how would you go about that?

Answer 72

Subtract

Answer 73

Subtract what?

Answer 74

−2x+4=−16
Can you solve for x from here? Try?

Answer 75

Durgamata is at a point where they're just starting to understand how variables work. If they're struggling with x+3 =5, I don't think they're going to be able to solve multistep equations, and walking through it probably isn't going to leave them with much that was meaningful

Answer 76

@pooja195 Im not on that question right now. I had to restart my test and it erased all the answers you helped me with.

Answer 77

Your test?

Answer 78

Not test. Work

Answer 79

Ok well post the question you are on.

Answer 80

Okay, Durgamata, I'm going to draw a comparison here. Do you know what a scale is?