Sum the largest 5 of the last 10 numbers in a row ignoring blanks

Assume a single row of data with numbers and blanks appearing at random intervals.  The objective is to sum the largest 5 of last 10 numbers in that row.  Solving this problem entails multiple steps:

1. Identify the last 10 numbers in that row i.e. starting from the right hand side, identify the last 10 numbers
2. Identify the largest 5 of those 10 numbers
3. Sum those largest 5 numbers

Here are the steps

1. Suppose the numbers and blanks are in range A2:V2
2. Type 10 in cell X1
3. Enter this array formula (Ctrl+Shift+Enter) in cell X2

=SUM(SMALL(IF((SUBTOTAL(2,OFFSET(V2,,,1,(COLUMN($A2:$V2)-COLUMN(W2))))<=X$1)*($A2:$V2)=0,FALSE,(SUBTOTAL(2,OFFSET(V2,,,1,(COLUMN($A2:$V2)-COLUMN(W2))))<=X$1)*($A2:$V2)),{1,2,3,4,5}))