Explanation:
First, we need to isolate x, or put it on one side of the inequality with nothing else. To do this, first add 2 to both sides. We add 2 because it is the opposite of subtracting 2, which is what is happening in the inequality; 5x -2 >8. So:
5x -2 > 8 = 5x > 10
+2 +2
Now, to get x by itself, we must divide by 5, because it is the opposite of multiplying by 5 (remember, when there is a number next to a variable, it means multiply. So, 5x is the same as 5 * x or 5 times x). So:
5x > 10 = x > 2
÷ 5 ÷ 5
So now that x is all alone on one side, we have successfully simplified this equation.
Answer:
So, x > 2
I really hope this helps you understand! Comment if you have any questions!