which is the solution to the equation 3x -4=5(x-4)?

- anonymous

which is the solution to the equation 3x -4=5(x-4)?

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- anonymous

@jim_thompson5910

- jim_thompson5910

what do you have so far

- jim_thompson5910

absolute value? I don't see any absolute value bars in the original problem `3x -4=5(x-4)`

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## More answers

- anonymous

Mistake on my part.

- jim_thompson5910

can you draw out the full problem?

- anonymous

\[3x-4=5(x-4)\]

- anonymous

like that?

- jim_thompson5910

are there any vertical bars in the problem?

- anonymous

I made a big mistake. Hold on.

- anonymous

x=0?

- anonymous

X=0 because different multiplications of X are being subtracted by 4. 3x3=9-4=5 5x3=15-4=9 5 does not equal 9. 3x0=0-4=-4 and 5x0=0-4=-4 but negative 4 equals negative 4 so the answer is X= 0?

- jim_thompson5910

is it possible to post a screenshot? that would clear up all confusion

- anonymous

The question isn't online.

- jim_thompson5910

oh it's on paper, I see

- jim_thompson5910

I'm going to assume there is no set of absolute value bars
The first step is to distribute the 5 through
3x -4=5(x-4)
3x -4=5*x-5*4
3x -4 = 5x - 20
with me so far?

- anonymous

There are no bars. I am with you

- jim_thompson5910

ok now we need to move the x terms over to one side. Say the left side

- jim_thompson5910

|dw:1443245964641:dw|

- jim_thompson5910

subtract 5x from both sides
|dw:1443246000337:dw|

- jim_thompson5910

notice the 5x terms cancel on the right side
|dw:1443246026894:dw|

- anonymous

Oh ok!

- jim_thompson5910

what is 3x-5x equal to?

- anonymous

243? Probabaly wrong. defiantly

- jim_thompson5910

you're just subtracting

- jim_thompson5910

no exponents are involved

- anonymous

Explain a little more? My brain is about to shut down on me lol I can barely think, im so tired.

- jim_thompson5910

I'm sure you know how to do 5-3 ?

- jim_thompson5910

think of it like that, but the result will be negative

- anonymous

yes I do lol

- anonymous

-2 then

- jim_thompson5910

you have 3 dollars in your pocket
you buy something worth $5
you'll be 2 dollars in debt

- jim_thompson5910

so 3x-5x = -2x

- jim_thompson5910

-2x - 4 = -20

- jim_thompson5910

now add 4 to both sides to move that 4 over

- anonymous

But thats not the final answer?

- jim_thompson5910

no

- anonymous

How do I add four to both sides? LOL ugh..

- jim_thompson5910

Yeah I know, I'm being a pain. But it's good to know how to do this stuff
|dw:1443246705151:dw|

- jim_thompson5910

|dw:1443246723579:dw|

- jim_thompson5910

|dw:1443246739406:dw|

- jim_thompson5910

what would -20+4 simplify to?

- jim_thompson5910

it would be similar to -5+3 like you did last time

- anonymous

-24?

- anonymous

or -16?

- jim_thompson5910

-16 actually
start at -20. Then move 4 spots to the right (because of the +4)

- jim_thompson5910

we now have this equation
-2x = -16

- jim_thompson5910

|dw:1443246871534:dw|

- jim_thompson5910

|dw:1443246883800:dw|

- jim_thompson5910

|dw:1443246918084:dw|

- anonymous

ok.

- jim_thompson5910

the last thing needed to be done is dividing -16 over -2

- anonymous

-8? maybe?

- jim_thompson5910

the two negatives divide to a positive

- jim_thompson5910

just like how (-2) times (-2) = +4
similar to negative times negative = positive

- anonymous

So its either x=8 or x=0.

- dm91

x=8

- jim_thompson5910

0? how are you getting that?

- anonymous

Thats just one of the options for an answer.

- jim_thompson5910

I see

- dm91

ok -16/-2= 8 because a -n and -n = +n.

- anonymous

I kind of explained my answer for it possibly being 0 above.

- anonymous

X=0because different multiplications of X are being subtracted by 4. 3x3=9-4=5 5x3=15-4=9 5 does not equal 9. 3x0=0-4=-4 and 5x0=0-4=-4 but negative 4 equals negative 4 so the answer is X= 0

- jim_thompson5910

well when you said -8, you were close but it's actually +8 or just 8 since negative/negative = positive

- anonymous

Final answer 8?

- jim_thompson5910

yeah

- dm91

|dw:1443246869026:dw|

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