simplify the alabraic equation: 2(5x+4)+3x-(7-x)

- anonymous

simplify the alabraic equation: 2(5x+4)+3x-(7-x)

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- M

you want to group all numbers with x

- amistre64

distribute thru the paranthesis and then combine like terms

- M

^^

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- anonymous

ok seriously i suck at math that makes no sense to me i have no idea how to do that

- amistre64

lets figure out what distribute means then :)

- amistre64

would you agree that (5+3) = 8?

- anonymous

yes

- amistre64

then by all means:
4(5+3) = 32 right? becasue it is simply 4(8)

- anonymous

yes

- amistre64

to distribute means to take that 4 and distribute it thru to the 5 and 3 like this:
4(5) + 4(3) = 32
20 + 12 = 32
32 = 32 ...did you see that?

- anonymous

ya

- amistre64

4(x+3) would distribute like this:
4(x) + 4(3)
4x + 21 right?

- anonymous

sure

- amistre64

well, 4(3) = 12, not 21..typoed it

- amistre64

can you distribute this for me then?
2(5x+4)

- anonymous

2 and the 5 is = 10
4 and 5 is= 20
so is it 30

- amistre64

good job!! you were close; but you forgot to include the 'x' part of it :)
2(5x+4)
2(5x) + 2(4)
10x + 8

- amistre64

a little more practice and you should have it down pat

- anonymous

oh so its 18 im gettng it

- amistre64

not quite 18; the x represent something that we know nothing about yet;
suppose it represent oranges
would 10 oranges and 8 cents = 18??
or would it simply be:
10 oranges and 18 cents?

- amistre64

typoed again...

- amistre64

- amistre64

.....computer spazed oon me lol

- anonymous

oh ok

- amistre64

10x is just 10x; theres nothing more to do with it.
10x + 8 is as far as we can go with it

- amistre64

try to distribute this one for me:
-1(7-x)

- anonymous

ok slowly but surely getting it

- anonymous

-1+7x

- amistre64

still got some ironing out to do; but the concepts are there :)

- amistre64

try to rewrite it like this:
-1(7) + -1(-x)

- amistre64

-7 + x right?

- anonymous

yes

- amistre64

10x+8 +3x -7 +x is what we have come to in your question then; now we add up all the x's to get what?
10x +3x +x = how many x's?

- anonymous

3

- amistre64

3x means: x+x+x
x mean: x
10x means: x+x+x+x+x+x+x+x+x+x
when we add up all these x's how many are there?
(x) + (x+x+x) + (x+x+x+x+x+x+x+x+x+x) ?

- anonymous

14

- amistre64

thats correct :) 14x is the combined number of x's :)

- anonymous

oh

- amistre64

14x +(8-7) =? what is 8-7?

- anonymous

1

- amistre64

then we have come to our answer and cant go any further:
14x + 1 is the answer :)

- anonymous

oh i see

- amistre64

practice at it; the hardest part really is getting the distributive stuff down pat.

- anonymous

uh huh i will

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