-2x+6<x−6

Sure, let's solve the inequality step by step:

-2x + 6 < x - 6

First, let's get all the x terms on one side of the inequality and the constants on the other side. We can do this by adding 2x to both sides and adding 6 to both sides:

-2x + 2x + 6 + 6 < x + 2x - 6 + 6

This simplifies to:

12 < 3x

Next, we divide both sides by 3 to solve for x:

12 / 3 < 3x / 3

This simplifies to:

4 < x

So, the solution to the inequality -2x + 6 < x - 6 is x > 4.