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 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 minus 10 Right Parenthesis equals 16

2(x + 10) = 16

Answer 1

To determine which equation requires 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

   • First dividing by 2 is not applicable as the coefficient of x is 10, not 2.

2. 2x + 10 = 16

   • Dividing both sides by 2 gives x + 5 = 8. Then subtracting 10 would not apply here since it's x + 5, not a format that allows for subtraction after division.

3. 2(x − 10) = 16

   • Dividing both sides by 2 gives x - 10 = 8. Then, subtracting 10 from both sides would give x = 18. This matches the steps described.

4. 2(x + 10) = 16

   • Dividing by 2 gives x + 10 = 8. Then subtracting 10 would not apply here since you would subtract 10 from 8, leading to x = -2.

Based on the analysis, the correct answer is:

2(x − 10) = 16