Question

solve bx-cx=7 for x

Answer 1

Do you know anything like the folowing rule?

\(\large\color{black}{ \displaystyle ab+zb=(a+z)b }\)

Answer 2

Don't be afraid to say no....

Answer 3

I really dont know

Answer 4

it is fine.

Answer 5

Ok, would you agree with me if I said that:
\(7x-4x=3x\)

?

Answer 6

no hold on

Answer 7

Here is the full question, with options

Answer 8

I don't really need that to do it.....
I am just trying to get you to understand how to work ouy the solution:)

So, back to what I asked, if you will.
In general: \(7x-4x=3x\)
Do you agree with me or not?

Answer 9

I do

Answer 10

Ok, and same way:
\(10x-2x=8x\)
\(9x-3x=6x\)

and so forth.

Answer 11

Now, when you do
\(bx-cx\)

you are going to have a "b-c" number of x's.
Right?

Answer 12

Yes

Answer 13

So, you can re-write this:
\(bx-cx=7\)

as:
\((b-c)\times x =7\)

Answer 14

good with the step that I did just now, or you have questions about it?

Answer 15

Good with the steps

Answer 16

Ok, so we have so far:
\((b-c)\times x=7\)
----------------------
If I had
\(4x=8\),
and I wanted to solve for x,
THEN, I would divide both
sides by 4.
\(4x\div4=8\div 4{~~~~~}\Rightarrow{~~~~~} x=2\)

Answer 17

So, what whould I do when instead of 4 (as I showed in the example),
I have a \("b-c"\) (as we have in our problem now).

Answer 18

Alright I sorta got it

Answer 19

Ok, s when we have:
\((b-c)\times x=7\)

we are going to divide both sides by:
\((b-c)\)

Answer 20

Can you preform this division for me please?

Answer 21

perform*

Answer 22

x/(b-c) ?

Answer 23

x=7/(b-c)

Answer 24

Thank You :)