Question

The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?

Answer 1

My bad. LOL. I wrote the right thing. accidentally deleted it.

Answer 2

Let x be the number.

\[{x \over 2}=2x-3\]
solve for x.

Answer 3

how would I solve for x? would I do 2x*2?

Answer 4

hmm...

Answer 5

Yes, you do 2x*2. I'm sorry. I'm really tired now. Way past bedtime.

Answer 6

\[{x \over 2} \times 2= 2(2x-3)\]

Answer 7

that's ok, I hope I'm not a pain. I just don't fully understand it thats all

Answer 8

No worries. I enjoy explaining.

Answer 9

Which part do you not understand? The question or how to solve for x?

Answer 10

2x=4x-6?

Answer 11

almost correct. except that there is no 2x.

Answer 12

oh ooops, 4x=4x-6?

Answer 13

For example,
when you multiply 1/2 by 2, you get 1. (because the 2s cancel out each other)
In this case, x/2 is multiplied by 2, you get x.

Answer 14

So would that make it 4 1/2?

Answer 15

May I ask which syllabus are you learning?

Answer 16

you are*

Answer 17

I do school online, so I get random things thrown at me to figure out

Answer 18

I totally understand. I'm online schooled too. ;)

Answer 19

So I'm guessing, American syllabus then? (Cause american and british syllabus have different ways of teaching algebra.)

Answer 20

Oh...yes American Syllabus

Answer 21

Alright then.
This is the equation that your question is asking you to solve:
\[{x \over 2}=2x-3\]
First, you must get rid of the 2 below the x (on the right side of the equation.)

Answer 22

To do that, you multiply the number by itself because (as an example) 1/2 multiplied by 2 is somewhat like 2 divided by 2. When you divide 2 by 2, you get 1. Still following?

Answer 23

Yes I am.

Answer 24

\[{1 \over 2} \times 2={2 \over 2}=1\]

Answer 25

okay. so in this case, we have x, which has an invisible coefficient of 1, so you treat it like a 1.

Answer 26

oh ok

Answer 27

so instead of writing 1, you write x instead.

Like in this case,
\[{x \over 2} \times 2 ={2x \over 2}=x\]

Answer 28

anyways, when you multiply the 2 on one side, you have to multiply the 2 on the other side too, that's how you get... \[x=4x-6\] still following?

Answer 29

Yes (:

Answer 30

okay, now you want to isolate x to one side so you minus 4x from both sides.
\[x-4x=4x-4x-6\]
What do you get now?

Answer 31

3x=6?

Answer 32

correct! (you're one step ahead, but that's good so, good job!)

Now, you want to find x so you divide both sides by 3.
\[{3x \over 3}={6 \over 3}\]
can you solve this one? :)

Answer 33

x/2 ?

Answer 34

Do one side at a time.

Answer 35

\[{3x \over 3}=?\]

Answer 36

oh... 3/3=0 so x. and 6/3=2 so 2? x=2?

Answer 37

yes!

Answer 38

Just to correct you. 3/3 is actually 1.

Answer 39

but your answer is correct anyway. :)

Answer 40

Yay!! Thank You so much for the help!!!

Answer 41

You're welcome! Just keep doing practices and you'll get the hang of it in no time!