Question

What is the reason for each step in the solution of the equation?

2x−1=4(x+1)
Drag and drop the reasons into the boxes to correctly complete the table

2x-1=4(x+1)

2x-1=4x+4

2x=4x+5

−2x=5

x=-5/2

Distributive Property
Multiplication or Division Property of Equality
Commutative Property
Given
Addition or Subtraction Property of Equality

Answer 1

2x - 1 = 4(x + 1) Given

2x - 1 = 4x + 4 Distributive Property

2x = 4x + 5 Addition or Subtraction Property of Equality

-2x = 5 Addition or Subtraction Property of Equality

x = -5/2 Multiplication or Division Property of Equality

- I took the test, these should be right.

Answer 2

2x-1=4(x+1) Given. This is the expression you were originally given. 2x-1=4x+4 Distributive Property You distributed the 4 in the subexpression 4(x + 1) to make 4x + 4 2x=4x+5 Addition or Subtraction Property of Equality You added 1 to both sides of the equation. â’2x=5 Addition or Subtraction Property of Equality You subtracted 4x from both sides of the equation. x=-5/2 Multiplication or Division Property of Equality You divided both sides by -2.