Solve the following equations

1. 
   Solve the following equations.
   

1. 
   2x + 3 = 7x 2. 12 – 2x = – 5x – 9
   

3. 
   x – 2x + 3 = 3 – x 4. 5x + 24 = 5 ( x – 5 )
   

5. 
   2/3 ( 6x + 3 ) = 6 ( x – 3 ) 6. 6x – ( 2x – 6 ) = 5x – 4
   

7. 
   7 – 4x = 10x 8. – 8x + 7 = 4x – 5
   

9. 
   x+ 2 = 3x – 1 10. 7 ( 1 – y ) = –3 ( y – 2 )
   

11. 
    1 ( 10x – 15 ) = 3 – 2x 12. 5 ( y – 2 ) = – 2 ( 12 – 9y ) + y
    

13. 
    4x + 27 = 3x 14. 12y + 21 = 9y
    

15. 
    – 2x = 16x – 9 16. 4x = –28x – 3
    

17. 
    12x – 4 = 12x 18. –30x + 12 = 18x
    

19. 
    6 – (–5x) = 5x – 3 20. 6x – 11 = –2x + 5
    

21. 
    12x – 7 = –3x + 8 22. – 12x + 4 = 8x – 6
    

23. 
    – 7 + 4x = 6x – 5 24. – 7 + 11x = 9 – 5x
    

25. 
    8 – 9x = 21x - 17 26. 24 – 6x = 6 ( 4 – x )
    

27. A video store charges $8 to rend a video game for five days. You must be a member to rent from the store, but the membership is free. A video game club in town charges only $3 to rent a game for five days, but membership in the club is $50 per year. Which rental plan is more economical?

If you rent ___________ video games in a year, the cost would be the same at either the store or the club. If you rent more than _________, the club is more economical. If you rent fewer than _______, the store is more economical.