To solve the inequality, we can start by finding a common denominator for the fractions. The common denominator is 4, so we can rewrite the inequality as:

(4x/8) - (6x/8) - (3x/4) > 0

Now, we can combine the fractions:

(4x - 6x - 6x) / 8 > 0

Simplifying further:

(-5x) / 8 > 0

To solve for x, we can multiply both sides of the inequality by 8:

-5x > 0

Now, we can divide both sides by -5, remembering to reverse the inequality because we are dividing by a negative number:

x < 0

Therefore, the solution to the inequality is x < 0.