Subset Data Based On Elements In List

In R, I am trying to subset the data.frame named Data by using element stored in a list.

Data

Data <- read.table(text = "  Data_x  Data_y  Column_X 
                                -34      12       A
                                -36      20       D
                                -36      12       E
                                -34      18       F
                                -34      10       B
                                -35      24       A
                                -35      16       B
                                -33      22       B
                                -33      14       C
                                -35      22       D", header = T)

Code

variableData <- list("A", "B")
subsetData_1 <- subset(Data, Column_X == variableData[1])
subsetData_2 <- subset(Data, Column_X == variableData[2])
subsetData <- rbind(subsetData_1, subsetData_2)

Problems

• First, the elements in the list can be more than two and is not fixed. Can even have more than 100 elements.
• Second, I want to keep only one data.frame which will store all the subset data extracted using all the elements in list. If there are more elements, lets say 100, then I don't want to repeat subset() for each of the elements.

Is there a better way to approach this than the code above? As my approach is not good enough and will take performance hit.

Any suggestion will be helpful, thanks.