Question

Drag a statement or reason to each box to complete this proof. If −2(x+1)=8, then x=−5. Statement Reason 1. −2(x+1)=8 Given 2. −2(x+1)−2=8−2 3. Simplifying 4. x+1−1=−4−1 5. Simplifying

Answer 1

1. −2 (x + 1) = 8 1. Given

2. -2 (x + 1) / -2 = 8 / -2 2. Division Property of Equality

3. x + 1 = -4 3. Simplifying

4. x + 1 − 1 = −4 − 1 4. Subtraction Property of Equality

5. x = -5 5. Simplifying

Step-by-step explanation:

Answer 2

1) Given −2(x+1)=8

2) Division Property of Equality (dividing both sides of the equation by -2)

3)
`(-2(x+1))/(-2)=(8)/(-2)`

4) Simplifying

5) x+1=-4

6) Substraction Property of Equality (substracting 1 on both sides of the equation)

7) x+1−1=−4−1

8) Simplifying

9) x=-5