Multi-Step Equations with One, No, or Infinite Solutions

5𝑥 + 2(𝑥 − 3) = 5𝑥 + 2(3 − 𝑥)

• One Solution

• No Solution

• Infinite Solutions

15𝑦 + 2 = 2(5𝑦 + 6)

• One Solution

• No Solution

• Infinite Solutions

8𝑥 + 4 = −4(2𝑥 + 1)

• One Solution

• No Solution

• Infinite Solutions

4𝑥 − 5 = 2(2𝑥 − 1)

• One Solution

• No Solution

• Infinite Solutions

3𝑥 − 2(𝑥 + 10) = 𝑥 − 20

• One Solution

• No Solution

• Infinite Solutions

4𝑥 − 3 = 2𝑥 + 13

• One Solution

• No Solution

• Infinite Solutions

Click on all the wrong steps. 

Step 1:    $-3(𝑥−4)+5=6+3𝑥$  
Step 2:    $-3x-12+5=6+3x$  
Step 3:     $-3x+17=6+3x$  
Step 4:      $-3x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -3x\$  
                 --------------------------------------
Step 5:       $17=6$  (No Solution)

• Step 2

• Step 3

• Step 4

• Step 5

Solve correctly.
Choose the right type of solution.

 $-3(𝑥−4)+5=6+3𝑥$  

(a)  

How many solutions did the problem you just solve for have?

 $-3(𝑥−4)+5=6+3𝑥$  

• One Solution

• No Solution

• Infinite Solutions