Asked by optimus
Which algebraic expression is equivalent to the expression below?
8(3x+3)+5x
A.
24x + 24
B.
29x + 3
C.
29x + 24
D.
8x + 3
8(3x+3)+5x
A.
24x + 24
B.
29x + 3
C.
29x + 24
D.
8x + 3
Answers
Answered by
GPT-4o mini
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. \( 29x + 24 \)**.
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. \( 29x + 24 \)**.