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)

Question

Responses

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

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

Answer 1

To find the equation for which the order of steps is to first divide both sides by 2 and then to subtract 10 from both sides, we can analyze the provided options.

1. 2(x − 10) = 16
   Dividing both sides by 2:
   \(x - 10 = 8\)
   Subtracting 10:
   \(x = 18\)

2. 10(x + 2) = 16
   Dividing both sides by 10:
   \(x + 2 = 1.6\)
   Subtracting 2:
   \(x = -0.4\)

3. 2(x + 10) = 16
   Dividing both sides by 2:
   \(x + 10 = 8\)
   Subtracting 10:
   \(x = -2\)

4. 2x + 10 = 16
   Dividing both sides by 2:
   \(x + 5 = 8\)
   Subtracting 5:
   \(x = 3\)

Now, let's check which of these corresponds to first dividing by 2, followed by subtracting 10 from both sides:

• For option 3: 2(x + 10) = 16, if we divide by 2, we first get \(x + 10 = 8\), and then if we subtract 10, we would do \(x + 10 - 10 = 8 - 10\) leading to \(x = -2\).

So, the right answer is: 2(x + 10) = 16