Question

Item 11

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

54+2x=5x−3(2+6x)

Select from the drop-down menus to correctly justify each step.

Answer 1

54+2x=5x−3(2+6x) = Given

54+2x=5x−6−18x = Distributive Property

54+2x=−13x−6 = Combine Like Terms

54=−15x−6 = Subtraction Property of Equality

60=−15x = Addition Property of Equality

−4=x = Division Property of Equality

Answer 2

54+2x=5x−3(2+6x) = Given

54+2x=5x−6−18x = Distributive Property

54+2x=−13x−6 = Combine Like Terms

54=−15x−6 = Subtraction Property of Equality

60=−15x = Addition Property of Equality

−4=x = Division Property of Equality

Explanation: