The first number of three consecutive even integers equals the sum of the second and third. Find the three numbers.If x represents the smallest integer, then which of the following equations could be used to solve the problem?Ox= 2x + 6Ox= 2x + 32x + 2 = x + 4

Answer:x=2x+6 is the equation that to solve for the smallest.The three numbers are -6, -4 , and -2.Step-by-step explanation:Let x be the smallest of three consecutive even integers.The next even integer would then have to be x+2 (because x+1 is odd if x is even).The third one in this sequence would have to be x+4 (because x+3 is odd if x is even).We are given the first of these numbers equals the sum of the second and third.So we have x=(x+2)+(x+4).Combine like terms on right hand side:x=x+x+2+4Simplify the combining:x=2x+6Subtract 2x on both sides:x-2x=6Simplify left hand side:-x=6Multiply both sides by -1:x=-6If x=-6,  then the three mentioned numbers are:x=-6x+2=-6+2=-4x+4=-6+4=-2The three numbers are -6, -4 , and -2.