I have an exam tomorrow and have just spotted a flaw in my brain.

I am using a revision book with all the answers.

3 questions:

This is what I'm confused about.

$\displaystyle x/p = p+c

$

so

$\displaystyle

x=p^2+pc$

But WHERE did the extra p come from. Surely thers only 1 p why is there now two?

My answer to this was

$\displaystyle x = p^2+c$

Next I've got:

$\displaystyle 5-fx=3x+p$

How does this =

$\displaystyle x=(5-p)/(3+f)$

I simply don't understand.

I got stuck at:

$\displaystyle x=(5-fx-p)/3$

Finally I have a mega confusion of another letter just dissapearing.

$\displaystyle 2x=px+q$

so

$\displaystyle 2x-px=q$

it then says "factorise to"

$\displaystyle

(2-p)x=q

$

Where's the $\displaystyle x$ gone!? I see what they've done, but WHY!? again.

Will appreciate any help or nudges in the right direction. I also dont know which side of an equation something should go, if i -5 from both sides, do I put the -5 in front or behind the rest of the equation?