Answer:
The sum of the three consecutive even integers;
![3x+6](https://img.qammunity.org/2023/formulas/mathematics/college/2lf6rz7xaijbgh46kzj31634wqqwk0jaig.png)
Step-by-step explanation:
Given that x is the first of three consecutive even integers.
We can write the three consecutive even integers in terms of x;
![x,x+2,x+4](https://img.qammunity.org/2023/formulas/mathematics/high-school/3jmu279s1i16ajhy2fg649dgluajgkkgne.png)
The sum of the three consecutive even integers would then be;
![\begin{gathered} S=x+x+2+x+4 \\ S=3x+6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/j66esq8mm0o3hz3c6ogjnstycjjn6mhdhd.png)
Therefore, the sum of the three consecutive even integers;
![3x+6](https://img.qammunity.org/2023/formulas/mathematics/college/2lf6rz7xaijbgh46kzj31634wqqwk0jaig.png)