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

10(x + 2) = 16
10
(
𝑥

+

2
)

=

16
10 Left Parenthesis x plus 2 Right Parenthesis equals 16

2(x + 10) = 16
2
(
𝑥

+

10
)

=

16
2 Left Parenthesis x plus 10 Right Parenthesis equals 16

2(x − 10) = 16
2
(
𝑥

−

10
)

=

16
2 Left Parenthesis x minus 10 Right Parenthesis equals 16

2x + 10 = 16.......

Answer 1

To find which equation allows for the steps of first dividing both sides by 2 and then subtracting 10 from both sides, let's analyze each option.

1. 10(x + 2) = 16:

   • If we divide both sides by 10, we get \(x + 2 = 1.6\).
   • Then, subtracting 2 from both sides gives \(x = -0.4\).
   • This does not match the required steps.

2. 2(x + 10) = 16:

   • If we divide both sides by 2, we get \(x + 10 = 8\).
   • Then, subtracting 10 from both sides gives \(x = -2\).
   • This does not match the required steps either.

3. 2(x − 10) = 16:

   • If we divide both sides by 2, we get \(x - 10 = 8\).
   • Then, subtracting 10 from both sides gives \(x = 18\).
   • This does not match the required steps.

4. 2x + 10 = 16:

   • If we divide both sides by 2, we get \(x + 5 = 8\).
   • Then, subtracting 5 from both sides gives \(x = 3\).
   • This does not match the required steps.

None of the options use the steps of first dividing by 2 and then subtracting 10 correctly in the order specified. However, it appears the most likely candidate where after executing each step results in a simple form is 2(x − 10) = 16, as we see it allows the operation correctly but does not fit the whole criteria exactly.

Thus, 2(x - 10) = 16 is the best option that illustrates a divide and then arrange subtraction, although the exact subtraction target isn't correct per the question's steps if we're looking strictly at minus 10, we end at plus.