Number Theory - need translation to plain math :)

I just got a number theory book and I'm already stuck on page 2 trying to understand the expression. So any help is greatly appreciated.
it states:

"if x not 0, and c|a.c|b - c|ma + nb for all integral m and n"

HUH?..
translated, "if a divided by c and b divided by c implies ma divided by c + nb"

Why the +nb?,
Is there any other way to translate this?
And what exactly is this statement saying?

Question

Number Theory - need translation to plain math :)

I just got a number theory book and I'm already stuck on page 2 trying to understand the expression. So any help is greatly appreciated.
it states:

"if x not 0, and c|a.c|b -> c|ma + nb for all integral m and n"

HUH?..
translated, "if a divided by c and b divided by c implies ma divided by c + nb"

Why the +nb?, 
Is there any other way to translate this?
And what exactly is this statement saying?

jkristia · Answer

is 
c|ma + nb 
actually
c|(ma + nb) ?