Solve the following inequality: 6x -3 > 3x + 9

First, we start by moving the x's all over to one side. These are our undefined variable and it is important to keep them together. To do this, we take away 3x from either side and we get:

3x - 3 > 9

Now, we must modify the inequality so that we only have x's on one side of the equation. The simplest way to do this is adding 3 to either side, cancelling out the minus 3 on the left. This gives us:

3x > 12

Finally, to obtain an equation with only one x, we must divide both sides by 4. This gives us:

x > 4

This solves our ineqaulity.