mathdummy has a quick question what are the common factors that need to be canceled?

7/5 (5x+30/7) -6

Question

mathdummy has a quick question  what are the common factors that need to be canceled?

7/5 (5x+30/7) -6

anonymous · Answer

I know that the answer is x+6 .... but how/why

anonymous · Answer

$$\frac{ 7 }{ 5 } * (\frac{ 5x+30 }{ 7 }) - 6= 0$$

anonymous · Answer

Like that right?

anonymous · Answer

yes, sorta, this is part of a function , and I don't understand the cancel common factor part...

anonymous · Answer

May I see the whole function?

anonymous · Answer

sure...   $$f(x)= \frac{ 7 }{ 5 } x -6       and g(x) = \frac{ 5x+30 }{ 7 }$$

anonymous · Answer

inserting g(x) in function of f(x)

anonymous · Answer

Hmm, okay then.

anonymous · Answer

sorry, forgot to put what we are going for in the long run...

anonymous · Answer

Ah, I got it..

anonymous · Answer

So, first you have this: 

7/5 (5x+30/7) -6
to:
7/5 (5(x+6)/7) -6
(cancel 7s and 5s)
So you have:
(x+6)-6
becomes:
x

anonymous · Answer

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