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