1. 2.4 Solving Equations with Variables on both sides
Students will be able to solve equations with variables on both sides

2. Rules
Move variables on one side of equation and constants (numbers) on the other side.

3. Example
k+1=3k-1

4. Solve
8 + 5c = 7c – 2

5. You Try-
9f – 6 = 3f + 7

6. Solve by Grouping 1) Distribute first 2) Combine Like Terms
3) Then get all the variables on one side and the constants on the other.

7. Solve:

8. Solve

9. Example
5m- 3 = 1m + 7

10. You Try
.7z z = z

11. Example
12y + 6 = 6(2y + 1)

12. You Try
8z = 4(2z+1)

13. Set-up an equation and Solve
Currently, you have $80 and your sister has $145. You decide to save $6 of your allowance each week, while your sister decides to spend her whole allowance plus $7 each week. How long will it be before you have as much money as your sister?

14. You Try
The membership fee for joining a gardening association is $24 per year. A local botanical garden charges members of the gardening association $3 admission to the garden. Nonmembers of the association are charged $6. After how many visits to the garden is the total cost for members, including the membership fee, the same as the total cost for nonmembers?

15. Find the values of x so that the figures have the same area.6 10 3x x