Which expression is equivalent to 3 + 2(x + 12)? Select one:5x + 60highlight_off5x + 12highlight_off2x + 27highlight_off2x +15highlight_off

Step 1: Break Down the Problem

We need to simplify the expression $3 + 2(x + 12)$ and find an equivalent expression among the given options.

Step 2: Relevant Concepts

To simplify $3 + 2(x + 12)$, we will use the distributive property, which states that $a(b + c) = ab + ac$.

Step 3: Analysis and Detail

1. Start with the expression: $3 + 2(x + 12)$

2. Apply the distributive property: $2(x + 12) = 2x + 2 \cdot 12 = 2x + 24$

3. Combine the terms: $3 + 2x + 24 = 2x + 27$

Step 4: Verify and Summarize

The simplification gives us $2x + 27$. Therefore, this expression is equivalent to the original expression.

Final Answer

The expression equivalent to $3 + 2(x + 12)$ is $2x + 27$.