Question

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

5x=_____

x=_____

Answer 1

Let's solve the equation step by step:

1. Start with the original equation:
\( 3(x - 5) + 2x = 0 \)

2. Distribute \(3\) in the equation:
\( 3x - 15 + 2x = 0 \)

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

So, the first blank is filled in with \(-15\):
**3x + \(-15\) + 2x = 0**

4. Combine \(3x\) and \(2x\):
\( 5x - 15 = 0 \)

Now, the second blank is filled with \(15\):
**5x = \(15\)**

5. Isolate \(x\) by adding \(15\) to both sides:
\( 5x = 15 \)

6. Divide both sides by \(5\):
\( x = 3 \)

Thus, the final value for \(x\) is:
**x = \(3\)**

Putting it all together, the filled out statements are:
1. **3x + \(-15\) + 2x = 0**
2. **5x = \(15\)**
3. **x = \(3\)**