To solve this, you need to isolate/get the variable "x" by itself in the inequality:
4x + 1 > 6x + 5 Subtract 4x on both sides
4x - 4x + 1 > 6x - 4x + 5
1 > 2x + 5 Subtract 5 on both sides
1 - 5 > 2x + 5 - 5
-4 > 2x Divide 2 on both sides to get "x" by itself
-2 > x