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Which algebraic expression is equivalent to the expression below?

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

1 answer

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. \( 20x + 50 \)