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

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

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

2(x − 10) = 16

Answer 1

To determine which equation allows for the steps of first dividing both sides by 2 and then subtracting 10 from both sides, we can examine the options:

1. 10(x + 2) = 16

   • Dividing both sides by 2 gives: \(5(x + 2) = 8\)
   • Then subtracting would not directly relate to -10.

2. 2x + 10 = 16

   • Dividing by 2: \(x + 5 = 8\)
   • Then subtracting 10 would not apply.

3. 2(x + 10) = 16

   • Dividing by 2: \(x + 10 = 8\)
   • Then subtracting 10 gives: \(x = -2\), which is valid.

4. 2(x − 10) = 16

   • Dividing by 2: \(x - 10 = 8\)
   • Then adding 10 yields \(x = 18\), which does not allow for subtracting 10.

The correct equation where you can first divide both sides by 2 and then subtract 10 from both sides is 2(x + 10) = 16.