Which algebraic expression is equivalent to the expression below?

Question

8(3x+3)+5x

A.
24x + 24
B.
29x + 3
C.
29x + 24
D.
8x + 3

Answer 1

To simplify the expression \( 8(3x + 3) + 5x \), we start by distributing the 8 across the terms inside the parentheses:

1. Distribute \(8\) to \(3x\) and \(3\): \[ 8(3x) + 8(3) = 24x + 24 \]

2. Now, add \(5x\) to the result: \[ 24x + 24 + 5x = (24x + 5x) + 24 = 29x + 24 \]

Thus, the expression simplifies to \( 29x + 24 \).

The equivalent algebraic expression is C. \( 29x + 24 \).