So for this we will be doing proportions. And in this case the proportions will be

Firstly, cross multiply:

Next, subtract 10x on each side of the equation:

Lastly, divide 2 on each side of the equation, and your answer should be 5 = x
Next, to find BD, just multiply 5 and 4 together, which equal 20.
To find CE, plug in 5 into the x variable of 2x+2.

In short, the correct answer is the first option.