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

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**