Start off by simplifying everything that you can. Maybe try multiplying out the -2(4x-1) part?
(x + 5) - 2(4x - 1) = 0
x + 5 - 8x + 2 = 0
Don't forget that you have to multiply out by -2 instead of just 2, so you'll get -8x + 2 instead of 8x - 2.
From there, you can simplify some more and try to get x by itself so you have something that looks like x = ___ that tells you the answer.