Find the three consecutive even integers such that five time

Find the three consecutive even integers such that five times the smallest is four times the largest

Let the smallest of three be x.
The second one is x+2 (why?)
The third one is x+4; (why?)

It is known that 5*x=4*(x+4); Five times the smallest equals four times the largest.

From this, we obtain:

5x=4(x+4)=4x+16
x=16

x+2=18;

x+4=20:

Answer:

16,18, and 20