Conditional Formatting of maximum value in each row of many

Please select he relevant columns (say A:H) and HOME > Styles - Conditional Formatting, New Rule..., Use a formula to determine which cells to format and Format values where this formula is true::

=A1=MAX($A1:$H1)

Format..., select your choice of formatting, OK, OK.

If you want the formatting to stop when there are no values in the row adjust to:

 =AND(COUNT($A1:$H1)<>0,A1=MAX($A1:$H1))