Don't go back and try to fix ever error in place. Go to your current logbook and make a new entry under the current date. Under each column (single engine land, PIC, etc), put the corrected numbers, positive or negative. Perhaps you need to add two tenths of PIC, take away four tenths of multi, add five hours SIC, and reduce your total time by ten hours. Put those values on this single line, then make a note in the remarks that these are corrections to your logbooks to date. If you have enough room, you can cite page numbers.
When you total up the page, the results at the end of the page will be current and correct. When someone reviews your logbook, they're not going to go back and add every page. They're going to look at the last page of the logbook, and they may flip through at read an entry here or there, but that's generally about it. What you're looking for is the neatest, most concise correction you can make; a single line entry that calls no attention to itself is best, and the most professional way of handling the correction.
If you like you can also go to each corrected page and make a small note in the margin that a correction was applies in logbook #, on xx/xx/xxxx.
Any actual corrections in your logbook shouldn't be done by scratching anything out. Your log is a legal document, and should be treated as such. If you do find yourself needing to make a correction to the log anywhere, strike through the item with a single, clean line, and initial it in small letters. Don't use white-out or other correction tape or fluid, or scribble over the error. You can write the correct information next to the lined-out entry.
Shoot for the lowest visibility, most conservative way you can to adjust your log, and avoid doing anything that draws attention to the error.