Answer: 4
Using similarity triangle theorem
DB/BE = AD/CE
DB = 10 - x
BE = 3
AD = x
CE = 2
10 - x / 3 = x / 2
Introduce cross multiplication
(10 - x) * 2 = 3 * x
10 *2 - x*2 = 3x
20 - 2x = 3x
Collect the like terms
20 = 3x + 2x
20 = 5x
Divide both sides by 5
20/5 = 5x/5
x = 4
The answer is 4