Question

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

13x−4=−9(4+3x)+12

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


13x−4=−9(4+3x)+12 Given
13x−4=−36−27x+12
13x−4=−24−27x
40x−4=−24 Addition Property of Equality
40x=−20
x=−12 Division Property of Equality

Answer 1

13x−4=−36−27x+12: Distributive property

13x−4=−24−27x: Combine like terms

40x=−20: Addition Property of equality

Answer 2

Answer with Step-by-step explanation:

13x−4= −9(4+3x)+12 (Given)

13x−4= −36−27x+12 (Distributive property: -9(4+3x)= -36-27x)

13x−4= −24−27x (combining like terms on each side: -36+12= -24)

40x−4=−24 (Addition Property of Equality: adding 27x on both sides )

40x= −20 (Addition Property of Equality: adding 4 on both sides )

x= −1/2 (Division Property of Equality: dividing both sides by 40)