To solve this inequality, we need to simplify both sides and then isolate the variable x.

Starting on the left side of the inequality:

0.8x + 0.2 - 0.3x
= 0.8x - 0.3x + 0.2
= 0.5x + 0.2

Now simplify the right side of the inequality:

76.2 - 0.1x + 0.6x
= 76.2 + 0.5x

So the inequality becomes:

0.5x + 0.2 > 76.2 + 0.5x

Subtracting 0.5x from both sides:

0.2 > 76.2

This inequality is not possible: 0.2 cannot be greater than 76.2. Therefore, there is no solution to the given inequality.