177,498 views
8 votes
8 votes
Move a property to each blank box to show the reason for each step.StepProperty3x - 6 = x + 42x - 6 = 42x = 10x=5

User Rohan Kumar
by
2.7k points

1 Answer

6 votes
6 votes

We have that we are solving for the equation:


3x-6=x+4

To start solving it, we need to subtract x to both sides of the equation. This property is Subtraction Property of Equality:


3x-x-6=x-x+4\Rightarrow2x-6=4

In the next step, we use the Addition Property of Equality, since we have to add 6 to both sides of the equation:


2x-6+6=4+6\Rightarrow2x=10

And the last step is to use the Division Property of Equality since we need to divide by 2 to both sides of the equation:


2x=10\Rightarrow(2x)/(2)=(10)/(2)\Rightarrow x=5

In summary, the order of each of the reasons for each step is (see all the steps above):

• The original equation is 3x - 6 = x + 4

,

• After applying the Subtraction Property of Equality, we got 2x - 6 = 4

,

• After applying the Addition Property of Equality, we got 2x = 10

,

• After applying the Division Property of Equality, we finally got x = 5.

User Chsymann
by
3.1k points