Yes your answers are correct :)
Step by step review:
First line has product of 5 and (x+2) so product property is good.
2nd line has division so quotient property is good.
3rd line has equal log with base 2 so equality property is good.
4th line has multiplication so that is also good
5th line has distribution of 5 and 7 so distributive property is good.
Your answer is correct.