You have the following inequality:
[tex]3x-4\ge6+5x[/tex]
In order to solve the previous inequality you proceed as follow:
3x - 4 ≥ 6 + 5x subtract 3x both sides
- 4 ≥ 6 + 5x - 3x
-4 ≥ 6 + 2x subtract 6 both sides
-4 - 6 ≥ 2x
-10 ≥ 2x divide by 2 both sides
-5 ≥ x
which is the same that x ≤ -5
Hence the solution to the given inequality is x ≤ -5
