Question

Which algebraic expression is equivalent to the expression below?

5(3x + 10) + 5x
A.
20x + 10
B.
70x
C.
20x + 50
D.
20x – 50

Answer 1

To simplify the expression \( 5(3x + 10) + 5x \), we will use the distributive property and combine like terms.

1. Distribute \( 5 \) into \( (3x + 10) \):

\[
5(3x) + 5(10) = 15x + 50
\]

2. Now, add \( 5x \) to the result:

\[
15x + 50 + 5x
\]

3. Combine the like terms \( 15x \) and \( 5x \):

\[
(15x + 5x) + 50 = 20x + 50
\]

The equivalent expression is \( 20x + 50 \).

So, the answer is:

**C. \( 20x + 50 \)**