How would do you solve this type of problem? and What is it?

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This should help:

floor function:   floor(x) is the greatest integer less than or equal to x.   e.g.  floor(3.4) = 3

ceiling function:  ceil(x)  is the smallest integer greater than or equal to x.  e.g.  ceil(3.4) = 4

We can solve this

(x + 3)  = 10 ( x - 1) + 4

x - 1  = 10 (x - 1)

10 (x - 1) - 1(x - 1) = 0

9 ( x - 1) = 0

x = 1  =  the floor

This  means that  any   x  on the interval  [ 1, 2)  will solve this equation