The goal here is to isolate the x variable.

First step: subtract the 7 from both sides:

-4x < (8-7)
-4x < 1

Second step: divide both sides by -4. Remember, when you divide by a negative number, the direction of the inequality changes.

x > -1/4

Note: you can always check your answer by selecting a number that fits your final inequality and plugging it into the original problem.

In this case, let's choose x = 0, because that fits the answer x > -1/4.

Then, you have:

7 - 4(0) < 8
7 < 8

Which is a true statement. So, the answer indeed is x > -1/4.