Question

Which expression is equivalent to 17x-10+3(2x+1)?

A. 11x-7
B. 11x-9
C. 23x-7
D. 23x-9

Answer 1

To simplify the expression \( 17x - 10 + 3(2x + 1) \), we will first distribute the \( 3 \) in the term \( 3(2x + 1) \):

\[
3(2x + 1) = 3 \cdot 2x + 3 \cdot 1 = 6x + 3
\]

Now, substitute this back into the expression:

\[
17x - 10 + 6x + 3
\]

Next, we can combine like terms. First, combine the \( x \) terms:

\[
17x + 6x = 23x
\]

Now combine the constant terms:

\[
-10 + 3 = -7
\]

Putting it all together, we have:

\[
23x - 7
\]

Therefore, the expression \( 17x - 10 + 3(2x + 1) \) simplifies to \( 23x - 7 \).

The correct answer is:

**C. \( 23x - 7 \)**