LBO - Carve-Out/Divesture Math

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Hi guys, 

Question I was asking myself - you're doing an LBO on a company.

Let's say you acquire it 10x NTM EBITDA of 100, lever it 5x. If you sell a subsidiary of this business with EBITDA of 20 (with sell-side advisors that will cost you 2), how do you find the maximum multiple you need to get when selling not to be dilutive to your equity?  

Would be great if someone could walk me through the math here? 

Thank you all

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