1. Solving Multi Step Equations

2. Distributive Property
Check!
2(x + 1) = 8
2(x + 1) = 8
2(3 + 1) = 8 2x
+ 2
= 8
- 2
- 2
2(4) = 8
2x = 6
2x = 6 2 2
8 = 8 
x = 3

3. Distributive Property
Check! -
5(x - 4) = -10
5(x - 4) = -10 +
5(2 - 4) = -10 5x
+ -20
= -10
+ 20
+ 20
5(-2) = -10
5x = 10
5x = 10 5 5
-10 = -10 
x = 2

4. Distributive Property
Check! -
-3(x - 5) = 12
-3(x - 5) = 12 +
-3(1 - 5) = 12
-3x
+ 15
= 12
- 15
-15
-3(-4) = 12
-3x = -3
-3x = -3 -3 -3
12 = 12 
= 12
x = 1

5. Distributive Property
Check!
4(2x + 1) = -4
4(2x +1) = -4
4(2(-1) + 1) = -4 8x
+ 4
= -4
4(-2 + 1) = -4 -4 -4
8x = -8
8x = -3
4(-1) = -4 8 8
-4 = -4 
x = -1

6. Distributive Property
Check!
6(-2x + 3) = -6
6(-2x +3) = -6
6(-2(2) + 3) = -6
-12x
+ 18
= -6
6(-4 + 3) = -6
-18
-18
-12x = -24
-12x = -24
6(-1) = -6
-12
-12
= 12
-6 = -6 
x = 2

7. Distributive Property
Check!
(x + 5)3 = -3
(x + 5)3 = -3
(-6 + 5)3 = -3 3x
+ 15
= -3
(-1)3 = -3
-15
-15
3x = -18
3x = -18
-6 = -6  3 3
= 12
x = -6

8. Distributive Property
Check! 1 1 -
(x - 6) = 1
(x - 6) = 1 + 2 2 1 1 x
(8 - 6) = 1
+ -3
= 1 2 2 +3 +3 1 2
(2) = 1 2 1
x = 4 2 1 1 2
1 = 1 
x = 8