Question

for which equation is the order of steps to divide both sides by 2 and then to subtract 10 to both sides
2(x+10)=16
10(x+2)=16
2x+10=16
2(x-10)=16

Answer 1

To determine which equation allows for the order of steps where you divide both sides by 2 and then subtract 10 from both sides, let's analyze each equation step-by-step.

1. **Equation: \(2(x+10) = 16\)**
- Divide both sides by 2:
\(x + 10 = 8\)
- Subtract 10 from both sides:
\(x = 8 - 10\)
\(x = -2\)

2. **Equation: \(10(x+2) = 16\)**
- Divide both sides by 10:
\(x + 2 = 1.6\)
- Subtract 2 from both sides:
\(x = 1.6 - 2\)
\(x = -0.4\)

3. **Equation: \(2x + 10 = 16\)**
- Subtract 10 from both sides:
\(2x = 6\)
- Divide both sides by 2:
\(x = 3\)

4. **Equation: \(2(x - 10) = 16\)**
- Divide both sides by 2:
\(x - 10 = 8\)
- Add 10 to both sides:
\(x = 8 + 10\)
\(x = 18\)

Only the first step sequence (dividing by 2 first followed by subtracting 10) is applicable to the equation \(2(x+10) = 16\).

So **the answer is**: **\(2(x+10) = 16\)**.