You are doing Everyday or Chicago Math right? I taught 4th grade for 10 years and have taught this several times. Basically it is a guess and check type of problem. This is how I would have taught it to my class:
68+x=413: I start by telling my class to use what you know and remember to be simple (becasue when you get to complex, you can make silly mistakes), you have 68 and you need to get to 413, so we start with a guess of 400 (68+400=468) so 400 is to high, then they usually guess 300 (68+300=368) so our guess is to low. Then I ask the class what they think is an easy munber to add but is between 300 & 400. I get a few shouts of 350, so we plug that in to the equation (68+350=418). All right so now we know 350 is to high, but it is very close, what shoudl we try next? Now I get shouts of 340 or 345, depending on time, it determines which number I plug in next. My board would look like this:
68+400= 468 (an arrow pointing up-shows guess is to high)
68+300= 368 (an arrow pointing down-shows guess is to low)
68+350= 418 (an arrow pointing up-shows guess is to high)
68+340= 308 (an arrow pointing down-shows guess is to low)
68+345= 413 (Star-shows guess is right on)
x=345
HTH