To isolate x, we first need to get rid of the constant terms on the left side of the inequality.

Starting with -3 < 5x - 2, we can add 2 to both sides:

-3 + 2 < 5x - 2 + 2

-1 < 5x

Next, we can divide by 5 on both sides to solve for x:

-1/5 < x

This means that x is greater than -1/5.

Moving to the other side of the inequality, we have 5x - 2 < 4:

5x - 2 < 4

Adding 2 to both sides:

5x < 6

Dividing by 5 on both sides:

x < 6/5

Therefore, the solution to the inequality -3 < 5x - 2 < 4 is -1/5 < x < 6/5.