Question

Question
Which expression is equivalent to 2(x+3)+4(x+1)
?(1 point)
Responses

3x+10
3 x plus 10

2x+10
2 x plus 10

6x+10
6 x plus 10

6x+7

Answer 1

To simplify the expression \( 2(x+3) + 4(x+1) \), we'll distribute the constants across the terms inside the parentheses:

1. Distribute \( 2 \) to \( (x + 3) \):
\[
2(x + 3) = 2x + 6
\]

2. Distribute \( 4 \) to \( (x + 1) \):
\[
4(x + 1) = 4x + 4
\]

Now, we can combine these results:
\[
2x + 6 + 4x + 4
\]

Next, combine the like terms \( 2x \) and \( 4x \):
\[
2x + 4x = 6x
\]

Now, combine the constant terms \( 6 \) and \( 4 \):
\[
6 + 4 = 10
\]

Putting it all together, we have:
\[
6x + 10
\]

So, the expression equivalent to \( 2(x+3) + 4(x+1) \) is:
\[
\boxed{6x + 10}
\]

Thus, the correct response is **6x + 10**.