the sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

Question

 this is turning the phrase into an inequality and then like trying to find the x value like for example x<6 but this promblem is confusing me sooo

Answer 1

x+(x+2)≤7+(1/2)([x+4]+[x+6])

2x+2≤7+(1/2)(2x+10)

2x+2≤7+x+5

2x-x≤7+5-2

x≤10

10 and 12 or 8 and 10 or 6 and 8 or...