Question

what is the simplified form of 3(2x-5)>21

Answer 1

ok, first divide both sides by 3 - what do you end up with?

Answer 2

3 cant go into 2, nor 5. but can into 21 "7" times

Answer 3

if you have an equation like:\[a(b+c)=d\]then if you divide both sides by a, what you get is:\[\frac{1}{\cancel{a}}\times \cancel{a}(b+c)=\frac{1}{a}\times d\]\[b+c=\frac{d}{a}\]

Answer 4

so, in your case, after dividing both sides by 3 we get:\[2x-5\gt7\]

Answer 5

can you solve the rest of this now?

Answer 6

ugh no. i give up!

Answer 7

thanks anyway for tryin to help.

Answer 8

why do you say "ugh no" to this?

Answer 9

because i don't get it.

Answer 10

you don't get how we divided both sides by 3?

Answer 11

no ecause i don see how u can do 3 into those numbers.without makin it intoa decimal

Answer 12

ok, lets take a simple example to illustrate this. lets say we have:

3 * 7 = 21

now we can divide both sides by 3 to get:

7 = 21/3 = 7

agreed?

Answer 13

does that make sense so far?

Answer 14

yes

Answer 15

ok, now lets replace the 7 with (5+2), and we get:

3(5+2) = 21

this is basically the same equation - agreed?

Answer 16

yess

Answer 17

so you need to think of everything in the braces as ONE SINGLE ITEM.

3(5+2) = 21

divide both sides by 3 to get:

5+2 = 21/3 = 7

Answer 18

does that help you understand this better?

Answer 19

yes.. it does THANKS:)!!!

Answer 20

gr8! - so do you think you can solve from where we left off now?

Answer 21

last step above was:\[2x-5\gt7\]

Answer 22

so, for example, the next step would be to add 5 to both sides