The sum of a number divided by 5 and 7 is 2

My math teacher told my class to "steal" a 6th grade fraction word problem from the internet, word problems? : -p requirements: only a 1 step word problem. needs to be complex.

[10 points, algebra 2]according to my answer key the restrictions are -1 and 4. but why not positive 1?

1.based of the diagrams what is the the value of x? 2.how would you verify your answer for x