To solve the inequality 4x - 7 < 5, we can start by adding 7 to both sides of the inequality:

4x - 7 + 7 < 5 + 7

This simplifies to:

4x < 12

Next, we can divide both sides of the inequality by 4 to solve for x:

(4x)/4 < 12/4

This simplifies to:

x < 3

Therefore, the solution to the inequality 4x - 7 < 5 is x < 3.