I have data that is Minmax scaled i.e. in the range [0,1]
For some purpose I need this data to be Standard scaled, i.e. in range [-1, 1]
But, I do not have access to data before it was Minmax scaled
Can I simply so the operation:

x = (x - mean) / std

where,
mean = mean of data in range [0,1]
std = standard deviation of data in range [0,1]
I mean, if I do this operation for all data points in range [0,1] now,
Will this be equivalent to doing Standard Scaling to original data (before it was minmax scaled)?