It's very hard to see a reason for you to move to Berlin. You will gain a net ("in hand") salary much lower than your actual salary because in Europe there's not only the taxes that are deducted from your salary, but also contributions for health assurance, for retirement and for social security (and sometimes many other "small" things). All these things can add up to ~50% of your salary. And see this: " People earni…
Running the tax calculator here:
http://www.brutto-netto-rechner.info/
it says you get 3.275,61 € after tax for 5000 € / month.
However, that already covers all the insurance costs, health insurance, insurance against loss of employment and pension insurance.
And health insurance in germany is a "real" insurance that won't try to get rid of you in case you get severely ill (cancer etc.). Even includes compensatory payments in case you're unfit for work (although your employer may have the right to terminate you if there is no chance of you recovering)