Question

Which algebraic expression is equivalent to this expression?

5(8x + 5) + 3(10 - x)
A.
37x - 55
B.
37x + 55
C.
37x + 5
D.
43x + 55

Answer 1

To simplify the expression \( 5(8x + 5) + 3(10 - x) \), we can follow these steps:

1. Distribute the \(5\) in the first term:
\[
5(8x + 5) = 5 \cdot 8x + 5 \cdot 5 = 40x + 25
\]

2. Distribute the \(3\) in the second term:
\[
3(10 - x) = 3 \cdot 10 - 3 \cdot x = 30 - 3x
\]

3. Now combine these results:
\[
40x + 25 + 30 - 3x
\]

4. Combine like terms:
\[
(40x - 3x) + (25 + 30) = 37x + 55
\]

Thus, the simplified expression is:
\[
\boxed{37x + 55}
\]

So the correct answer is **B**.