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

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

2(x − 10) = 16

Answer 1

To find an equation that matches the order of steps to first divide both sides by 2 and then subtract 10 from both sides, we can analyze each option:

1. **10(x + 2) = 16**
- Dividing both sides by 2 is not straightforward since 10 is a coefficient, and it won't simplify to subtract 10 appropriately.

2. **2(x + 10) = 16**
- Dividing both sides by 2 gives you \(x + 10 = 8\). Subtracting 10 would result in \(x = -2\).

3. **2x + 10 = 16**
- Dividing both sides by 2 gives you \(x + 5 = 8\). Then subtracting 5 gives you \(x = 3\) (not 10).

4. **2(x − 10) = 16**
- Dividing both sides by 2 gives you \(x - 10 = 8\). Subtracting 10 gives \(x = 18\).

Among these, the equation that allows you to first divide by 2 and then subtract 10 to isolate for \(x\) is:

**2(x + 10) = 16**

So the correct response is **2(x + 10) = 16**.