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 plus 10 Right Parenthesis equals 16

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

2x + 10 = 16

Answer 1

To determine which equation allows for first dividing both sides by 2 and then subtracting 10 from both sides, let's analyze each given equation.

1. For the equation 2(x + 10) = 16:

   • Dividing both sides by 2 gives: (x + 10) = 8
   • Now, subtracting 10: x + 10 - 10 = 8 - 10 => x = -2
   • This works.

2. For the equation 2(x − 10) = 16:

   • Dividing both sides by 2 gives: (x − 10) = 8
   • Now, subtracting 10: x - 10 - 10 = 8 - 10 => x = 8
   • This also works.

3. For the equation 10(x + 2) = 16:

   • Dividing both sides by 10 gives: (x + 2) = 1.6
   • Subtracting 2: x + 2 - 2 = 1.6 - 2 => x = -0.4
   • This works too, but doesn't match our intended steps first.

4. For the equation 2x + 10 = 16:

   • Dividing both sides by 2 works in a different manner (results in x + 5 = 8), and then there is no clear step to subtract 10.

Given that the intended order is to first divide both sides by 2 and then subtract 10 from both sides, the equation that fits this process perfectly is:

2(x + 10) = 16.