`2x+`________`=11` has the solution – 4.

Answer

To solve the equation \(2x + \_\_\_\_\_ = 11\) where the solution \(x = -4\), we need to find the value that should replace the blank.

### Step-by-Step Solution:

1. **Write down the equation**:
The equation is given as \(2x + \_\_\_\_\_ = 11\).

2. **Substitute the value of \(x\)**:
We know that \(x = -4\). So, we substitute \(-4\) into the equation:
\[ 2(-4) + \_\_\_\_\_ = 11 \]

3. **Calculate \(2(-4)\)**:
\[ 2(-4) = -8 \]
Now, the equation becomes:
\[ -8 + \_\_\_\_\_ = 11 \]

4. **Isolate the unknown value**:
To find the unknown value, we can rearrange the equation:
\[ \_\_\_\_\_ = 11 + 8 \]

5. **Calculate the right side**:
\[ 11 + 8 = 19 \]
Therefore, the unknown value is:
\[ \_\_\_\_\_ = 19 \]

6. **Final answer**:
The value that should fill the blank is **19**.

### Verification:

To verify, we can substitute back into the original equation:

1. **Substituting back into the equation**:
\[ 2(-4) + 19 = 11 \]

2. **Calculate the left-hand side**:
\[ -8 + 19 = 11 \]

3. **Check if both sides are equal**:
Since \(11 = 11\), our solution is verified.

### Final Answer:
The value that should fill the blank is **19**.

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