To identify the equation for which the order of steps is to first divide both sides by 2 and then to subtract 10 from both sides, we can analyze each option:
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Equation: 2x + 10 = 16
- If we divide both sides by 2, we get: \[ x + 5 = 8 \]
- Subtracting 5 gives: \[ x = 3 \]
- This matches the required order of steps.
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Equation: 2(x + 10) = 16
- Dividing both sides by 2: \[ x + 10 = 8 \]
- Subtracting 10 gives: \[ x = -2 \]
- This does not match the order.
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Equation: 10(x + 2) = 16
- Dividing both sides by 10: \[ x + 2 = 1.6 \]
- Subtracting 2 gives: \[ x = -0.4 \]
- This does not match the order.
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Equation: 2(x − 10) = 16
- Dividing both sides by 2: \[ x - 10 = 8 \]
- Subtracting 10 gives: \[ x = 18 \]
- This does not match the order.
Ultimately, the only equation where the order of steps is to first divide both sides by 2 and then subtract 10 is:
2x + 10 = 16.