Hello there!
4, 580 + 5,008 + 2,351 = 4,580 + blank +2,351
We gonna replace the word "blank" by x
4,580 + 5,008 + 2,351 =4,580 + x + 2,351
4,580 + 5,008 + 2,351 = x + 4,580 + 2,351
11939 = x +6931
Flip it
x + 6931 = 11939
x = 11939 - 6931
x = 5008
The number in the blank space is 5,008
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We can verify if we got the right answer.
We gonna go all the way back and replace 5,008 in the blank space.
4,580 + 5,008 + 2,351 = 4,580 + 5,008 + 2351
All all the numbers on the left together and all the numbers on the right together
11939 = 11939
True
I hope I helped!