2x - the first and the smallest even integer
2x+2 - the second even integer
2x+4 - the third even integer
[tex]2x+2x+2+2x+4=2 \cdot 2 x-48 \\
6x+6=4x-48 \\
2x=-54 \\ \\
2x=-54 \\
2x+2=-54+2=-52 \\
2x+4=-54+4=-50[/tex]
These three consecutive even integers are -54, -52 and -50.