Question

For which equation is the order of steps to first divide both sides by 6 and then to add 8 to both sides? (1 point)

A. 6(x + 8) = 48

B. 6x − 8 = 48

C. 8(x − 6) = 48

D. 6(x − 8) = 48

Answer 1

To determine which equation requires you to first divide both sides by 6 and then add 8 to both sides, we can analyze each option:

A. \(6(x + 8) = 48\)
First, we would divide both sides by 6:
\(x + 8 = 8\)
Then we would subtract 8 from both sides, not add.

B. \(6x - 8 = 48\)
First, we would add 8 to both sides:
\(6x = 56\)
Then divide by 6.

C. \(8(x - 6) = 48\)
First, we divide both sides by 8:
\(x - 6 = 6\)
Then we add 6, not 8.

D. \(6(x - 8) = 48\)
First, we divide both sides by 6:
\(x - 8 = 8\)
Then we add 8 to both sides.

Based on this analysis, the correct answer is:

**D. \(6(x - 8) = 48\)**