Question 386159
Your first step was close, but not quite right. You did the first half of the equation correctly, but you didn't distribute the 6 to the x AND the 1.
When you distributed, you should have gotten:
5x-10>6x-6
The next step is to add ten to both sides.
5x-10+10>6x-6+10
5x>6x+4
Now, we want to get our variable on one side of the equation.
-1x>4
The final step is to divide both sides by negative one to isolate the variable. However, since the number being divided is negative, you have to flip the inequality. (Whenever dividing or multiplying by a negative number, we flip the inequality.)
{{{(-1x)/(-1)<(4)/(-1)}}}
x<-4

Therefore, x is less than negative four.