From the hint:
We start from $??+?4+?4+?4 = 141$, or in better notation $AB+C4+D4+E4 = 141$.
Taking everything modulo 10, we get $B+12\equiv1$, so $B=9$.
Since $D4$ is a month, we must have $D=0$ (there is no 14th month).
Assuming you're not from the distant past or future (e.g. born in the 10th or 30th century), we must have $A=1$.
Now the equation is $19+C4+04+E4=141$, so $C+E=11$. We also know that $E$ must be $0$ or $1$ or $2$, so the only option is $C=9,E=2$.
So your date of birth is
1994/04/24 or 24 April 1994.
If you want feedback, I would say that this isn't doable without the hint. Certainly not uniquely solvable, when you don't specify what types of operations are allowed. Following this site's generic advice on formation-of-numbers questions, I'd advise you to restrict the possible operations which are permitted to be used in getting from the birthdate to 222. E.g. is it just $+,-,\times,\div$? Are $\sqrt{},!,\lfloor\,\rfloor, \exp$ also allowed? You need to have a clear finite list, otherwise there are too many thinking-outside-the-box possibilities.