If I have BC = 2x + 1, CD = 3x - 4 and BD = 22,how do I find the value of x?

Do you have a triangle?
What kind of triangle is it?

Your question is incomplete.

Or is this part of a question? It looks like a question I have seen before where the first part asks for coordinates of C (5,11) (i.e. x=5) is where the two lines cross and later in the question it asks for coordinates for B&D (two solutions).