10. Jill solves the equation 3(x−5)+2x=0

Question

. 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+
Response area+2x=0
5x=
Response area

x=
Response area

Answer 1

Let's solve the equation step by step and fill in the blanks.

1. Start with the equation: \[ 3(x−5)+2x=0 \]

2. Distribute \( 3 \) in \( 3(x−5) \): \[ 3x - 15 + 2x = 0 \]

   Fill in the first blank: 3x - 15

3. Combine like terms \( (3x + 2x) \): \[ 5x - 15 = 0 \]

   Fill in the second blank: -15

4. Now, to isolate \( x \), add \( 15 \) to both sides: \[ 5x = 15 \]

   Fill in the third blank: 15

5. Finally, divide by \( 5 \) to solve for \( x \): \[ x = 3 \]

   Fill in the last blank: 3

So, the completed steps would look like this:

3(x−5)+2x=0
Fill in first blank: 3x - 15
Fill in second blank: 15
Fill in third blank: 3