Hello, can someone tell me if the following expression has solution? Or if I can convert the time domain to the Laplace domain.

x(t) = 20*U(x(t-d)) + 50*U(-x(t-d))

The function U(..) is a unit step function. I want to convert the domain of this function to the Laplace domain.

I do not know how to convert the unit step function because the function U(x(t-d)) is a function of another function x(t-d).