Drag a statement or reason to each box to complete this proof. if −6(x−4)=42, then x=−3 statement reason 1. given 2. 3. x−4= −7 simplifying 4. x−4+4= −7+4 5. x= −3 simplifying answer chocies simplifying, addition property of equality, division property of equality, -6(x-4) = 42 -6 -6 the = sign is suppose to be in the middle and the other -6 under 42. also this is a choice to −6(x−4)=42

     Statements                                                  Reason

1.                                        Given

2.       Division property of equality

" Division property of equality states that if we divide both sides of an equation by the same nonzero number, the equation remains equal".

3.                                            Simplifying

4.                                  Addition property of equality

"Addition property of equality states that if the same number is added to both sides of an equation, then the equality is still true".

5.                                               Simplifying

Therefore, the solution to the equation is x = -3.