Question

Question

For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?(1 point)
Responses

2(x − 10) = 16
2 Left Parenthesis x minus 10 Right Parenthesis equals 16

2(x + 10) = 16
2 Left Parenthesis x plus 10 Right Parenthesis equals 16

2x + 10 = 16
2 x plus 10 equals 16

10(x + 2) = 16

Answer 1

To determine the equation for which the steps would be to first divide both sides by 2 and then subtract 10 from both sides, we can analyze each equation:

1. 2(x − 10) = 16

   • First, divide by 2: \( x - 10 = 8 \)
   • Then subtract 10: \( x = 18 \) (This matches the steps.)

2. 2(x + 10) = 16

   • First, divide by 2: \( x + 10 = 8 \)
   • Then subtract 10: \( x = -2 \) (This matches the steps.)

3. 2x + 10 = 16

   • First, divide by 2: \( x + 5 = 8 \)
   • Then subtract 10: \( x = 3 \) (This does not match the given steps.)

4. 10(x + 2) = 16

   • First, divide by 10: \( x + 2 = 1.6 \)
   • Then subtract 2: \( x = -0.4 \) (This does not match the given steps.)

From the analysis, the equations that match the order of steps (first dividing both sides by 2 and then subtracting 10) are:

• 2(x − 10) = 16
• 2(x + 10) = 16

Thus, both the first and second equations follow the specified process, but only the first equation (2(x - 10) = 16) results in subtracting 10 from both sides accurately aligning with the mentioned steps.

Therefore, the best answer based on the structure of the question would be: 2(x − 10) = 16.