Which property was used to write the equation in step 2?

For this case we have that by definition, the distributive property establishes that:
[tex]a (b + c) = ab + ac[/tex]
So, if we have:
[tex]5 (x-7) = 55[/tex]
When applying distributive property to the terms within the parenthesis we have:
[tex]5x-35 = 55[/tex]
The distributive property was used to write the second step.
Answer:
Distributive property