Help with solving equation

Hi,
I am currently attempting to finish my probability homework and am stuck on the last question. Pretty much, I need to solve this equation to find 'p(B)'.
I don't recall ever solving an equation like this and can't find any relevant old notes.

Can anyone explain to me how to solve this equation, please:
(x-0.25x) = 0.53

Thank you

Hi,
I am currently attempting to finish my probability homework and am stuck on the last question. Pretty much, I need to solve this equation to find 'p(B)'.
I don't recall ever solving an equation like this and can't find any relevant old notes.

Can anyone explain to me how to solve this equation, please:
(x-0.25x) = 0.53

Thank you

How do I go from x-0.25x to 0.75x?

You factorise like this:

α(1-0.25)=0.53
α(0.75)=0.53
So 0.75α=0.53

Where α is x

Thank you! You are a life saver