Correctly select the order of the steps to solve this equation.

Question

1/3(6x−9)=−33

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Step 3:

add 1/3 to both sides of the equation
subtract 1/3 from both sides of the equation
divide by 1/3 on both sides of the equation
multiply by 1/3 on both sides of the equation
subtract 6 from both sides of the equation
add 9 to both sides of the equation
subtract 9 from both sides of the equation
divide by 6 on both sides of the equation
multiply by 6 on both sides of the equation

Answer 1

To solve the equation \( \frac{1}{3}(6x−9)=−33 \), you can follow these steps in order:

Step 1: Multiply by 3 on both sides of the equation
This eliminates the fraction:
\[ 6x - 9 = -99 \]

Step 2: Add 9 to both sides of the equation
This simplifies it further:
\[ 6x = -90 \]

Step 3: Divide by 6 on both sides of the equation
This will solve for \( x \):
\[ x = -15 \]

So the correct order would be:

• Step 1: multiply by 3 on both sides of the equation
• Step 2: add 9 to both sides of the equation
• Step 3: divide by 6 on both sides of the equation

Answer 2

Solve for x.

1/3(6x−9)=−33

(1 point)
Responses

x = -30
x = -30

x = -15
x = -15

x = -22
x = -22

x = -19

Answer 3

To solve for \( x \) in the equation \( \frac{1}{3}(6x - 9) = -33 \), follow these steps:

1. Multiply both sides by 3 to eliminate the fraction: \[ 6x - 9 = -99 \]

2. Add 9 to both sides: \[ 6x = -90 \]

3. Divide by 6: \[ x = -15 \]

Thus, the solution is: \[ x = -15 \]

So, the correct response is:

• x = -15.

Answer 4

Correctly select the order of the steps to solve this equation.

−3/5(15x−30)=198

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Step 3:

multiply both sides of the equation by -3/5
divide both sides of the equation by -3/5
divide both sides of the equation by 30
subtract 30 from both sides of the equation
add 15 to both sides of the equation
divide both sides of the equation by 15
multiply both sides of the equation by 9
add 30 to both sides of the equation

Answer 5

To solve the equation \(-\frac{3}{5}(15x - 30) = 198\), you can follow these steps in order:

Step 1: Divide both sides of the equation by \(-\frac{3}{5}\).
This will eliminate the fraction: \[ 15x - 30 = 198 \cdot -\frac{5}{3} \] Calculating the right side gives: \[ 15x - 30 = -330 \]

Step 2: Add 30 to both sides of the equation.
This helps to isolate the term with \(x\): \[ 15x = -330 + 30 \] \[ 15x = -300 \]

Step 3: Divide both sides of the equation by 15.
This will solve for \(x\): \[ x = \frac{-300}{15} \] \[ x = -20 \]

So, the correct order of steps would be:

• Step 1: divide both sides of the equation by -3/5
• Step 2: add 30 to both sides of the equation
• Step 3: divide both sides of the equation by 15