Answer:
x = 6/5
Explanation:
x-4 4x-9
------ = ----------
2 3
Using cross products
3 * (x-4) = 2 ( 4x-9)
Distribute
3x-12 = 8x-18
Subtract 3x from each side
3x-12-3x = 8x-18-3x
-12 = 5x-18
Add 18 to each side
-12+18 =5x-18+18
6 = 5x
Divide by 5
6/5 = 5x/5
6/5 =x