Question 102189
Two consecutive even integers, let's call them X and X+2. 
The greater (X+2) is 6 less than 3 times the lesser (X) or
{{{X+2 = 3X - 6}}}
{{{X-X+2=3X-X-6}}} Additive inverse of X.  
{{{2+6=2X-6+6}}} Simplify. Additive inverse of -6. 
{{{8/2=2X/2}}} Simplify. Multiplicative inverse of 2.
{{{X=4}}}
{{{X+2=6}}}
Your answer X=4 and X+2=6. 
Let's verify the solution. 
{{{X+2 = 3X - 6}}}
{{{6 = 3(4) - 6}}}
{{{6 = 6}}}
Good answer.