Solving Multi-Step Equations (Variables on One Side)

-(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2

• n = -1/2

• n = 2

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

-11 + 3(b + 5) = 7

• 1

• -1

• 3

• -3

2x + 3(5x - 7) = 47

• x = 1

• x = 2

• x = 3

• x = 4

What is the second step in solving multi-step equations?

• Distribution (if necessary)

• Combine Like terms

• Move Variable

• Solve! With SADMEP

Solve

-19 = -8 (-4+a) - (2a+1)

• -1

• 14

• -5

• 5

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

5x - 4 + 2x = 3

• 1

• 2

• 3

• 4

3x + 2(4x - 4) = 3

• 4

• 3

• 2

• 1