Raymond B. answered 04/27/23
Math, microeconomics or criminal justice
3 consecutive odd integers
1st = x
2nd = x+2
3rd = x+4
1st + 2nd = twice the 3rd minus 6
x + x+2 = 2(x+4) -6
2x + 2 = 2x +8-6
2 = 2
1,3, 5 satisfy the condition: 1+3 = 2(5)-6, 4 = 10-6
7,9, 11 also satisfy the condition 7+9 = 16 = 2(11)-6 = 22-6 = 16
any and all 3 consecutive odd integers satisfy the requirement
an infinite number of solutions
UNLESS possibly you meant
x+ x+2 = 2(x+4-6)
then
2x +2 = 2x -4
2 = -4 which is a contradiction and then there are no solutions.
DNE, null set