Fill in the blanks.
The solution of an equation is that value of the variable which ___________ the equation.

Answer

To fill in the blank in the statement "The solution of an equation is that value of the variable which ___________ the equation," we need to understand what it means for a solution to an equation.

### Step-by-Step Solution:

1. **Understand the Definition**: The solution of an equation is a value that, when substituted for the variable, makes the equation true.

2. **Example**: Let's consider the equation \(2x + 5 = 15\). We want to find the value of \(x\) that satisfies this equation.

3. **Isolate the Variable**:
- Start by subtracting 5 from both sides of the equation:
\[ 2x + 5 - 5 = 15 - 5 \]
This simplifies to:
\[ 2x = 10 \]

4. **Solve for \(x\)**:
- Now, divide both sides by 2 to solve for \(x\):
\[ x = \frac{10}{2} \]
This gives us:
\[ x = 5 \]

5. **Verify the Solution**:
- Substitute \(x = 5\) back into the original equation to check if it satisfies the equation:
\[ 2(5) + 5 = 15 \]
Simplifying the left side gives:
\[ 10 + 5 = 15 \]
Since both sides are equal, \(x = 5\) satisfies the equation.

6. **Conclusion**: Therefore, we can conclude that the solution of an equation is that value of the variable which **satisfies** the equation.

### Final Answer:
The solution of an equation is that value of the variable which **satisfies** the equation.