Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer. Find the two consecutive even integers

let x be the first integer

x + 2 the second integer (two consecutive even)

smaller integer added to three times the larger x + 3 (x+2)

two less than five times the smaller 5x - 2

x + 3 (x+2) = 5x - 2

x+3x + 6 = 5x - 2

x=8

the first integer = 8

the second is x+2 = 10