How do I factor both sides of this equation

Question

ad-bd=bc-bd

I tried a/b =c/d that was wrong

Answer 1

Look at the common factors on both sides

d(a-b) = b(c-d)

What you want to do now is unclear, but go for it.

Answer 2

Yes Steve it's correct

Answer 3

So for this next equation
(a-b )d = b(c- d )
d=[ ]
can I divide both sides is this equation by a-b would it safe t0 say d=db

Answer 4

You divide both sides by (a-b), not by a - b

d = b(c-d)/(a-b)