Answer
Because this inequality is false for every value of $x$, there is no solution.
Work Step by Step
To solve the inequality, we want to isolate the variable on one side of the equation and constants on the other:
Distribute first:
$$4x - 4 \lt 4x - 20$$
Subtract $4x$ from each side of the equation:
$$-4 < - 20$$
Because this inequality is false for every value of $x$, there is no solution.