I am a college freshmen who isn't currently enrolled in an algebra class due to my low score on my testing. I am teaching myself algebra using E-Z algebra and I have stumbled upon a frustrating equation and I searched for a math help forum and found this site. I will probably have many more questions in the future so I appreciate any help that can be given.

Here is the problem

ax = bx + c (solve for x)

so I subtracted bx from both sides and got: a -bx = c

then i divided both sides by a-b

I ended up with: x = c/a-b

My question is this: if I subtract bx from both sides in step 1, how does that translate to a -bx? Why wouldn't it be ax - bx or a - b and the -x cancels out the other x? I'm seriously confused...I'm sure the explanation is real simple though.