Question

What is the reason for each step in the solution of the equation? 2x−1=4(x+1)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=4(x+1)-
2x−1=4x+42x−1=4x+4-
2x=4x+52x=4x+5-
−2x=5−2x=5-
x=−52-

Given
Distributive property
Commutative property
Addition or suptraction property of equality

Answer 1

The steps in the trying to obtain the value of x in the given item are rewritten below with their corresponding algebraic law or property.

2x - 1 = 4 (x + 1) ; GIVEN
2x - 1 = 4x + 4 ; Distributive property (as we can see, 4 is multiplied to each of the terms found inside the parentheses)
2x = 4x + 5 : Addition property of equality (both sides of the equation are added with 1)
-2x = 5 : Subtraction property of equality (both sides of the equation are subtracted with 4x)
x = -5/2 : Division Property of equality (both sides are divided by -2)