Combing Like Terms
one-step equations 1
Multi-step equations
Mix
100

x+ x + 17 

2x + 17 


100

2x = 20

x = 10

100

4x + 3x - 13 = 2x + 2?


4x + 3x - 13 = 2x + 2

-2x + 4x + 3x - 13 = 2

5x = 15

x = 3

100

5x + 2 - 3 + x = 11

5x + 2 - 3 + x = 11

6x - 1 = 11

6x = 12

x = 2

200

Combine like terms: 3-2x+6x

3 + 4x

200

3x + 7 = 16

 What is x = 3

200

What is 9n-5n - 6 = 5n-5n + 18?

9n-5n - 6 = 5n-5n + 18

4n-6 +6 = 18 +6

4n= 24

n= 6

200

5x=15

x = 3
300

 3x + 14x + 2 + x 


18x + 2 

300

4x = 20

x = 5

300

Multistep Equations: 5x+2 - 3=7

5x + 2 - 3 = 7

5x - 1 = 7

5x = 8

x = 8/5

300

Multistep Equations: How do you solve a multi-step equations?

- Simplify each side by combining like terms

- Move the variable from the right to left side if there is one

- Separate the variable from any Integer

- Divide each side by coefficient

400

 4x -2x + 8 +3x -1


5x+7

400

2y = 28

2y = 28

y = 14

400

Multistep Equations: -8x - 3x+ x = 33+ 2x

-8x - 3x + x = 33 + 2x

-2x -8x - 3x + x = 33

-10x - 3x + x = 33

-12x = 33

x = - 33/12

x =  - 11 / 4 

400

10x - 8x - 4 = 8x - 2x + 8

10x - 8x - 4 = 8x - 2x + 8

2x - 4 = 6x + 8

-4x - 4 = 8

-4x = 12

x = -3

500

 7q + 5q - 4 + 3 


12q - 1 

500

2/3x-6 = -2

(2/3)x - 6 = -2

(2/3)x = 4

2x = 12

x = 6

500

Multistep Equations: How do you solve a multi-step equations?

- Simplify each side by combining like terms

- Move the variable from the right to left side if there is one

- Separate the variable from any Integer

- Divide each side by coefficient

500

2x + 10  - 7 = 3x - 6

2x + 10  - 7 = 3x - 6

2x + 3 = 3x - 6

-x + 3 = -6

-x = -3

x = 3