Find 2 consecutive even integers that their sum is equal to the difference of three times the larger and two times the smaller

x=4

Step-by-step explanation:

Consecutive even integers can be written as x, x+2, x+4, etc

1) Rewrite the problem as an equation

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

2) Use the distributive property on the right side of the equation:

x+x+2=3x+6-2x

3) Combine alike terms:

2x+2=x+6

4) Subtract 2 from both sides:

2x=x+4

5) Subtract x from both sides:

x=4