Question

What is the reason for each step in the solution of the equation? −5(x−6)=10x Drag and drop the reasons into the boxes to correctly complete the table.

Answer 1

Explanation:

-5(x -6) = 10x . . . . . given

-5x +30 = 10x . . . . distributive property of multiplication over addition

30 = 15x . . . . . . . . addition property of equality (5x was added to both sides)

2 = x . . . . . . . . . . . division property of equality (both sides were divided by 15)

hope this helped

Answer 2

First, you have to distribute the -5 on the left side only to make the equation simpler to solve.
-5x+30=10x

Second, you add 5 to both sides which is kind of like combining like-terms.
30=15x

Finally, you divide by 15 on both sides to get x by itself which will leave you with the solution to the equation.
2=x

That’s it.