Question

lesson 3 equations with parentheses back to intro page quations with parentheses quick check 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) 2(x + 10) = 16 10(x + 2) = 16 2x + 10 = 16 2(x - 10) = 16

Explanation:

Step1: Analyze option 1

For $2(x + 10)=16$, first divide both sides by 2: $\frac{2(x + 10)}{2}=\frac{16}{2}$, which simplifies to $x + 10=8$. Then subtract 10 from both sides: $x+10 - 10=8 - 10$, giving $x=-2$. This follows the required steps.

Step2: Analyze option 2

For $10(x + 2)=16$, first - step should be to divide both sides by 10, not 2, so it doesn't match.

Step3: Analyze option 3

For $2x+10 = 16$, first - step should be to subtract 10 from both sides, not divide by 2, so it doesn't match.

Step4: Analyze option 4

For $2(x - 10)=16$, first divide both sides by 2: $\frac{2(x - 10)}{2}=\frac{16}{2}$, getting $x - 10=8$. Then we should add 10 to both sides, not subtract 10, so it doesn't match.

Answer:

$2(x + 10)=16$