Multiply `(2x+1)` by `(x-5)`.

Answer

To multiply the expressions \( (2x + 1) \) and \( (x - 5) \), we will use the distributive property (also known as the FOIL method for binomials). Here are the steps to solve the problem:

### Step 1: Distribute \( (2x + 1) \) to \( (x - 5) \)
We will multiply each term in the first expression by each term in the second expression.

### Step 2: Multiply \( 2x \) by \( x \)
\[ 2x \cdot x = 2x^2 \]

### Step 3: Multiply \( 2x \) by \( -5 \)
\[ 2x \cdot (-5) = -10x \]

### Step 4: Multiply \( 1 \) by \( x \)
\[ 1 \cdot x = x \]

### Step 5: Multiply \( 1 \) by \( -5 \)
\[ 1 \cdot (-5) = -5 \]

### Step 6: Combine all the results
Now we combine all the terms we obtained:
\[ 2x^2 - 10x + x - 5 \]

### Step 7: Combine like terms
Combine the \( -10x \) and \( x \):
\[ -10x + x = -9x \]

Thus, the final expression is:
\[ 2x^2 - 9x - 5 \]

### Final Answer:
\[ 2x^2 - 9x - 5 \]

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