Which expression is equivalent to 2(x+3)+4(x+1)

Question

?(1 point)
Responses

6x+7
6 x plus 7

3x+10
3 x plus 10

2x+10
2 x plus 10

6x+10

Answer 1

To simplify the expression \( 2(x+3) + 4(x+1) \), we can follow these steps:

1. Distribute the 2 and the 4 across the terms inside the parentheses: \[ 2(x+3) = 2x + 6 \] \[ 4(x+1) = 4x + 4 \]

2. Now we can combine the results: \[ 2x + 6 + 4x + 4 \]

3. Combine like terms: \[ (2x + 4x) + (6 + 4) = 6x + 10 \]

Thus, the expression \( 2(x+3) + 4(x+1) \) simplifies to \( 6x + 10 \).

The correct answer is: 6x + 10