What value of x is in the solution set of 2x-3 > 11 - 5x?

The value of x is 2.

Step-by-step explanation:

The key to this solution is to combine like terms.

2x-3 > 11-5x

There are lots of ways to combine them but the way I think would be the most simple would be to avoid negative numbers (although I personally enjoy it) but anyways,

First, you can add 5x to both sides of the inequality.

This would cancel out 5x and leave you with: 7x-3 > 11

The next terms that you can combine can be the constants. You can combine -3 and 11 and to do that, you add 3 on both sides. That would cancel 3 out and leave you with: 7x > 14

Now, the last step is to get x by itself and to do that, you divide 7 on both sides to get:

x > 2

I hope my explanation wasn't too confusing for you