Let's solve the equation step-by-step.
Starting with:
\[ 3(x−5)+2x=0 \]
1. Distribute \(3\) into \( (x - 5) \):
\[ 3x - 15 + 2x = 0 \]
Now, we can fill in the blanks:
**First Blank: -15** (the result after distributing)
Thus, we have:
\[ 3x - 15 + 2x = 0 \]
2. Combine like terms:
\[ (3x + 2x) - 15 = 0 \]
\[ 5x - 15 = 0 \]
Now, we can fill in the second blank:
**Second Blank: 15** (the number after moving 15 to the other side)
Thus, we have:
\[ 5x = 15 \]
3. Solve for \(x\) by dividing both sides by \(5\):
\[ x = \frac{15}{5} \]
\[ x = 3 \]
Now, we can fill in the third blank:
**Third Blank: 3** (the value of \(x\))
Putting it all together:
- First Blank: **-15**
- Second Blank: **15**
- Third Blank: **3**