Question

Jill solves the equation 3(x−5)+2x=0 . Fill in the blanks for each step with the correct values:(3 points) 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. 3x+ +2x=0 5x= Response area x= Response area

Answer 1

Let's solve the equation step by step.

Starting with the original equation: \[ 3(x - 5) + 2x = 0 \]

Step 1: Distribute the 3: \[ 3x - 15 + 2x = 0 \]

Step 2: Combine like terms: \[ 3x + 2x - 15 = 0 \] This gives: \[ 5x - 15 = 0 \]

Step 3: Add 15 to both sides: \[ 5x = 15 \]

Step 4: Divide by 5: \[ x = 3 \]

Now we can fill in the blanks:

1. From \(3(x - 5) + 2x = 0\) we have \(3x + (-15) + 2x = 0\) resulting in \(3x + 2x - 15 = 0\) → \(3x + 2x\) = 15
2. Continuing from \(5x - 15 = 0\) we then have \(5x = 15\) → \(5x\) = 15
3. Finally, solving for x gives \(x = 3\) → \(x\) = 3

So, the answers are:

1. 15
2. 15
3. 3

Please fill in the parameters according to these solved responses:

• \(3x + +2x = 0\) → fill 15 in the first response area.
• \(5x =\) → fill 15 in the second response area.
• \(x =\) → fill 3 in the third response area.