we interpret "five times the first three consecutive" to mean "five times the sum of first three consecutive"

let '2n' represent the first even integer, then '2n+2' and '2n+4' represent the second and third consecutive even integers

5(2n+2n+2+2n+4) = 2(2n+2+2n+4)-4

solving for 'n' we have n=-1

2*n = -2

the three consecutive even numbers are -2, 0 and 2