Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer.
Rafael tries to model this scenario with the equation show below.

Unfortunately, Rafael has made an error
on the left side of the equation. Explain what error he made.

n + 3n + 2 =5n - 2

Write the correct equation (if you haven't already) and solve it to find the two consecutive even integers.