1. Solving Multi-Step Equations and Using the Distributive Property
Just remember to follow the steps:
Distribute if you can
Collect all like terms to simplify
Isolate the variable using the opposite order of operations

2. 3(2x + 5) = 34 6x + 10 = 34 Example #1 -10 -10 6x 24 6 6 x = 4
NOW SOLVE!!!
-10
-10 6x 24 6 6 x = 4

3. Example # 2 15 – 4 ( y + 3 ) = 19 - 4y - 12 = 19 3 - 4y = 19 -3 - 3
1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite order of operations
15 – 4 ( y + 3 ) = 19
- 4y = 19
3 - 4y = 19
-4 y = 16
y = -4

4. Example # 3 - (12 x – 1) + x = 23 1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite order of operations

5. Example # 3
1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite order of operations
2( 4x + 3) – 5(2x – 1) = 27

6. - 4( n) = 8

7. 6(3x - 5) - 7x = 25

8. -2( m) = -90

9. 18x - (8x - 7) = 67

10. 7w - 3(4w + 8) = 11

11. Six friends go to the movies
Six friends go to the movies. Movie tickets are $5 and treats are $2 each. If all 6 friends bought the same number of treats, how many did each person buy if the total spent by all was $54?
1st Step: Distribute if you can 2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations
6(5 + 2x) = 54
x = 54
12x = 24
x = 2