What will make equity values differ when using FCFF and FCFE?

Will I get the same valuation if I discount free cash flows to the firm with WACC and subtract debt and add cash as if I discount free cash flows to equity using the cost of equity?

What will make the equity values differ?

Yes, if applied correctly both will be the same!

What will make them differ is what I am trying to ask.

Again, there is no difference.

Oscar - theoretically the values should be the same; however, in the real world, values are constantly changing and so will the equity value.