To isolate x , what must be done on both sides of the inequality x−5>−10 ?

To isolate x, you must get rid of the constant term first by adding 5 to both sides of the inequality.

So, the steps are as follows:

1. x - 5 > -10
2. Add 5 to both sides: x - 5 + 5 > -10 + 5
3. Simplify: x > -5

Therefore, the inequality x - 5 > -10 is equivalent to x > -5.