1. Equations with Variables on Both Sides
With Special Guest Stars:
The Distributive Property
& Combining Like Terms

2. When you have an equation with
variables on both sides, you get rid of one
of them by adding or subtracting.
Solve: 4x = 2x

3. Answer: x = 16
Now try this one:
7y = y

4. Answer: y = 3
For this next problem, you will need to use the Distributive Property first!
3(5a - 4) = 8a + 2

5. Answer: a = 2
Here’s another one!
x - ( x) = 7x + 4 ↑
careful!

6. Answer: x = -3
This time you will need to use the Distributive Property twice!
8(m - 5) = 2(3m - 8)

7. Answer: m = 12
This time, combine the like terms on each side of the equal sign before solving.
10x x = x

8. Answer: x = -8 For this problem: 1) Use the Distributive Property
2) Then, combine the like terms
2( x) = x - 8x

9. Answer: x = 4 6w + 3(5w - 4) = 12(2w - 5) Remember: Distribute, then
combine the like terms
6w + 3(5w - 4) = 12(2w - 5)

10. Answer: w = 16
Here’s the last one!
4x + 5(7x - 3) = 9(x - 5)

11. Answer: x = -1