How to Find MAP Estimate for θ in p(θ|x) = ½e^{-½(x-θ)²} + ½e^{-½(x+θ)²}?

I'm having trouble finding the following MAP estimate of theta for the following posterior probability:

p(theta|x) = 1/2 exp(-1/2( x - theta)^2) + 1/2 exp(-1/2( x + theta)^2)

Can any one suggest on how I may proceed in finding the estimate for theta?

Thanks,

Mr. E.