what is the value of x in the diagram?

Question

A. 1/2
B. 4/21
C. 2
D. 4
The fractions for cross multiplication are 9/4x-2 and 12/3x+2
I tried to do it but it was not an answer and i dont know what i did wrong

Answer 1

Hard to say what you did wrong, since you didn't show your work.

First, learn to use parentheses:

9/(4x-2) = 12/(3x+2)
9(3x+2) = 12(4x-2)
27x+18 = 48x-24
21x = 42
x = 2

Answer 2

but how did you get to 21x=42 i dont get what you did @Steve

Answer 3

you cross multiply

Answer 4

To get 21x=42, you move the constants to one side and the terms with variables to the other.
27x+18=48x-24
+24 +24
-------------------------------
27x+42=48x
-27x -27x
--------------------------
42=21x