Question

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

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)