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Jackson is given the expression below to simplify.

9x – 4 + 4x + 5x + 19

Which expression is equivalent to Jackson's expression?

A.

3(6x + 5)

B.

18x + 23

C.

5(x + 2)

D.

14x + 19

1 answer

To simplify the expression \( 9x - 4 + 4x + 5x + 19 \), we start by combining like terms:

  1. Combine the \( x \) terms: \[ 9x + 4x + 5x = (9 + 4 + 5)x = 18x \]

  2. Combine the constant terms: \[ -4 + 19 = 15 \]

Now, putting it all together, the simplified expression is: \[ 18x + 15 \]

Now, let's compare this with the options given to see if any match. Looking at the options:

A. \( 3(6x + 5) = 18x + 15 \) (This is equivalent)

B. \( 18x + 23 \) (Not equivalent)

C. \( 5(x + 2) = 5x + 10 \) (Not equivalent)

D. \( 14x + 19 \) (Not equivalent)

The correct answer is: A. \( 3(6x + 5) \).