You should really post at least an attempt of writing the code yourself.
That said, below is a working solution.
Option Explicit
Sub remove_blanks()
Dim lrow As Long, lcol As Long, i As Long, j As Long, k As Long, r As Long
Dim arrData() As Variant
Dim wb As Workbook, ws As Worksheet, myrng As Range
Set wb = ThisWorkbook
Set ws = wb.Sheets("Sheet1")
' Range can be made dynamic
Set myrng = ws.Range("A1:BR103068")
arrData = myrng.Value
For i = LBound(arrData, 1) To UBound(arrData, 1)
r = 0
For j = LBound(arrData, 2) To UBound(arrData, 2)
If arrData(i, j) = Empty Then
For k = j To UBound(arrData, 2) - 1
arrData(i, k) = arrData(i, k + 1)
Next k
' Last element emptied after first loop
If k = UBound(arrData, 2) And r = 0 Then
arrData(i, k + r) = Empty
End If
r = r + 1 ' counts how many empty elements removed
End If
' Exits loop after spaces removed from iteration
If j + r = UBound(arrData, 2) Then
Exit For
End If
' Accounts for consecutive empty array elements
If arrData(i, j) = Empty Then
j = j - 1
End If
Next j
Next i
myrng.ClearContents
myrng.Value = arrData
End Sub
I haven't tested @Excel Hero's, but it doesn't look like it shifts all elements up the array when it finds an empty element. The below will move all elements, and then iterate to the next empty element, until it reaches a point where all elements in that item have been assessed.
Testing on 70 columns and 100,000 rows of data, the code took 80 seconds to complete.