3x + 2 < 8
-2 -2 subtract both sides by 2
= 3x < 6
3x/3 < 6/3 divide both sides by 3
= x < 2
We isolate x because we want the variables on the left hand side and the numbers on the right...
3x + 2 - 2 < 8 - 2
= 3x < 6
Note that this doesn't say greater than or equal to sign so 2 is not a solution...
1 is the only integer solution and the solution to the inequality is x < 2