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 minus 10 Right Parenthesis equals 16 2x + 10 = 16 2 x plus 10 equals 16 10(x + 2) = 16 10 Left Parenthesis x plus 2 Right Parenthesis equals 16 2(x + 10) = 16
The equation for which the order of steps is to first divide both sides by 2 and then to subtract 10 from both sides is 2(x + 10) = 16.
The equation for which the order of steps is to first divide both sides by 2 and then subtract 10 from both sides is: 2(x − 10) = 16.
To determine which equation requires dividing both sides by 2 first and then subtracting 10 from both sides, we need to analyze each option.
1) 2(x - 10) = 16:
To solve this equation, we need to distribute the 2 to the terms within the parentheses first.
The order of steps would be:
1. Distribute the 2: 2x - 20 = 16
2. Add 20 to both sides: 2x = 36
3. Divide both sides by 2: x = 18
2) 2x + 10 = 16:
To solve this equation, we need to subtract 10 from both sides first.
The order of steps would be:
1. Subtract 10 from both sides: 2x = 6
2. Divide both sides by 2: x = 3
3) 10(x + 2) = 16:
To solve this equation, we need to divide both sides by 10 first.
The order of steps would be:
1. Divide both sides by 10: x + 2 = 1.6
2. Subtract 2 from both sides: x = -0.4
4) 2(x + 10) = 16:
To solve this equation, we need to divide both sides by 2 first.
The order of steps would be:
1. Divide both sides by 2: x + 10 = 8
2. Subtract 10 from both sides: x = -2
From the analysis of the equations, the only equation that requires dividing both sides by 2 first and then subtracting 10 from both sides is the fourth option: 2(x + 10) = 16.