the sum of three consecutive even integers is 6 subtracted from 4 times the middle number. Find the 3 numbers

The three consecutive even integers are 4,6,8

Step-by-step explanation:

Let the three consecutive even integers be 2x, 2x+2, 2x + 4

Middle number = 2x + 2

2x + 2x+2 + 2x + 4 = 4 * (2x+2) - 6

6x + 6 = 4*2x + 4*2 - 6

6x + 6 = 8x + 8 - 6

6x + 6 = 8x + 2

6x - 8x = 2 - 6

-2x = - 4

x = - 4/-2

x = 2

The three consecutive even integers are

2x = 2*2 = 4

2x+2 = 2*2 + 2 = 4 + 2 = 6

2x + 4 = 2*2+4 = 4+4 = 8