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).

Does this help?

To find the value of x, we can start by setting up an equation using the given information. Since BD is the sum of BC and CD, we can set up the equation: BC + CD = BD.

Substituting the given expressions, we have:
(2x + 1) + (3x - 4) = 22

Simplifying the equation, we combine like terms:
2x + 3x + 1 - 4 = 22
5x - 3 = 22

Next, we isolate the variable x by moving the constant term to the other side:
5x = 22 + 3
5x = 25

Finally, we solve for x by dividing both sides of the equation by 5:
x = 25 / 5
x = 5

Therefore, the value of x is 5.

Please note that without additional information about the triangle or the relationship between its sides and angles, we cannot determine the specific type of triangle.