word problem to equation question

[Howdy]

Hello, I an confused about what the starting equation should be for this simple word problem:

The net price of a calculator is $54 after a 10% discount is applied.
What is the list price?

It seems that I should start out with this: (where x = list_price)

x - ( x(.10) ) = 54

...but I can't figure out where to go from there.
I know I can instead start out with this:

x(.90)  =  54          check:  60 - ( 60(.10) ) = 54
 /.90      /.90                60 -      6      = 54
    x   =  60
                       check:           60(.90) = 54

But that seems like a jump and that I should be trying to work from the first one to the second. What should I do?
(this is out of an old book , I have no instructor.)
Thank you.

[stapel_eliz]

I'm not sure what you mean by a "jump" in going from 1x - 0.1x to 0.9x...?

[Howdy]

I see! I was confusing myself with the way I was stating it.

x - ( x(.10) ) = 54   <-- original

x - .10x       = 54   <-- stated as it should be
1x - .1x       = 54   <-- As you showed me, with the coefficient in the right place.
     .9x       = 54        Also important for me is the assumed coefficient 1 in x
     /.9         /.9       Then the (1 - .1) becomes clear
       x       = 60

Thank you ,
I knew I was missing something. Now I can move on without it nagging at me.