Question

4 of 54 of 5 Items 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 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 2 Left Parenthesis x minus 10 Right Parenthesis equals 16 10(x + 2) = 16

Answer 1

Equation 2x + 10 = 16 aligns with the order of steps involving first dividing both sides by 2 and then subtracting 10, resulting in x = 3.

To determine which equation corresponds to the order of steps involving dividing both sides by 2 and then subtracting 10 from both sides, let's analyze each given equation:

2(x + 10) = 16

2x + 10 = 16

2(x - 10) = 16

10(x + 2) = 16

The correct steps involve first dividing both sides by 2 and then subtracting 10. Let's apply these steps to each equation:

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

Divide both sides by 2: x + 10 = 8

Subtract 10 from both sides: x = -2

For equation (2): 2x + 10 = 16

Divide both sides by 2: x + 5 = 8

Subtract 5 from both sides: x = 3

For equation (3): 2(x - 10) = 16

Divide both sides by 2: x - 10 = 8

Add 10 to both sides: x = 18

For equation (4): 10(x + 2) = 16

Divide both sides by 10: x + 2 = 8/10

Subtract 2 from both sides: x = -6/5

Therefore, equation (2) 2x + 10 = 16 corresponds to the specified order of steps: first dividing both sides by 2 and then subtracting 10 from both sides.