Question

what is the value of X in the equation
-2x + 8 = _
-16

Answer 1

Will give medals to those that help me.

Answer 2

What is the value of x 6(-3 - x ) -2x = 14 wil give madals

Answer 3

When you solved for 'x', what did you get?

Answer 4

when I got to X i got 8 for the first one but you cant get 0 for X because then the equation doesn't make sense

Answer 5

\(-2x + 8 = -16 \rightarrow -2x = (-16-8) \rightarrow -2x = -24 \rightarrow x = \frac{-24}{-2}\)

Answer 6

What confused you on the second one?

Answer 7

okay for the second one am i supposed to leave the 6 once i times it to -3? or would the equation turn into -18*6x-2x=14?

Answer 8

With this as the equation, you first want to distribute the 6 into the parenthesis,6(-3 - x ) -2x = 14
\(6(-3-x) \rightarrow (6*(-3) + 6*(-x))\)

Answer 9

okay after i do that would i combine the like terms so 6x and 2x

Answer 10

Yes, exactly.

Answer 11

So after distributing you would have \(-18 -6x-2x=14\)

Answer 12

so after combining them i would have -18-8x=14

Answer 13

Exactly, nicely done. :)

Answer 14

okay now im lost again so i took -18-8x=14 and i added 8 to 14 so X would be left alone but what would i do after that?

Answer 15

You cannot add the -8 and the -18 together since the -8 is multiplied by 'x'. So first you need to move the -18.

Answer 16

okay so i didnt add the 8x to the -18 i added it to the 14

Answer 17

so i did
-18-8x=14
+8=+8 witch have me 22

Answer 18

When you move the -18 from the left to the right, you have to 'add 18' to both sides.
\(-18-8x=14 \rightarrow (+18) -18-8x=14 (+18) \rightarrow -8x = 14+18\)

Answer 19

okay so now i have 8x=32

Answer 20

so would X=4?

Answer 21

Now since your -8 is multiplied by x, the only want to reverse multiplication is through division. That is the right equation though you dropped a sign. So now you must DIVIDE by a -8 on both sides. \(-8x=32 \rightarrow \frac{-8x}{-8}=\frac{32}{-8}\)

Answer 22

You dropped the sign, but yes, excellent work. :)

Answer 23

so its -4

Answer 24

Yes. Good job.

Answer 25

would you mined helping me with one more?

Answer 26

Sure, what's the problem?

Answer 27

X+5=-6x-16

Answer 28

With this one you want to first get all the terms with an 'x' on one side and all the whole numbers onto the other.

Answer 29

okay I dont how i would do that

Answer 30

When moving from RHS (right hand side) to LHS (left hand side) of an equal sign you want to try and do one of two things. Either you add/subtract to both sides to get 0 or you multiply/divide to both sides to get 1.

Answer 31

In this case you are only adding/subtracting to make your first move. So how would you get a -6x from the RHS to the LHS and a +5 from the LHS to the RHS?

Answer 32

so would i subtract -6x to get to the LHS and then to get 5 to the RHS would i add?

Answer 33

I am really lost on this one im not understanding it at all

Answer 34

Remember that you're trying to get a '0' when adding/subtracting.
So -6x -6x = -12x, which won't work because it changes the equation.

Answer 35

\(X+5=-6x-16 \rightarrow (6x)+x+5=-6x-16=(6x)\)
You see how we add 6x to each side of the equation? We "cancel" out the -6x on the right but we add it back in on the left.

Answer 36

That should read: \(X+5=-6x-16 \rightarrow (6x)+x+5=-6x-16+(6x)\)

Answer 37

okay so right now my equation should be 6x+5=16?

Answer 38

It should be \(6x+x+5=16\)

Answer 39

err, dropped a sign again. \(6x+x+5=-16\)

Answer 40

So now can you get the 5 from the LHS to the RHS?

Answer 41

so i would subtract 5 and move it to the right?

Answer 42

You would subtract 5 from BOTH sides, yes.

Answer 43

oh and would the -6x stay negative once it was moved from right to left?

Answer 44

The 6x would not be negative because you are having to add 6x to cancel out that -6x from the RHS.

Answer 45

okay and now would my equation be 6x+x=-16-5?

Answer 46

Yes, exactly.

Answer 47

okay what would my next step be?

Answer 48

Next you need to consolidate terms. Add the 6x and x, then add the -16 and -5.

Answer 49

Once that is done, you will have a number "multiplied" by x. The only way to reverse multiplication is through division....

Answer 50

okay so now i should have 6x=-21?

Answer 51

what would give me an answer of -3.5

Answer 52

Remember, when you have a variable by itself, like 'x', that it is really the same as having 1x. So you had 6x+1x, what does that equal?

Answer 53

7x

Answer 54

Yes, and then x = ?

Answer 55

so that would change my answer to -3

Answer 56

Precisely. Excellent work. :)

Answer 57

okay im sorry but i dont know how to do the ones with fractions could you help me with that one?

Answer 58

Fractions?