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.

54+2x=5x−3(2+6x) Given

54+2x=5x−6−18x Choose....Addition property of equality, Distributive property, or multiplication Property of equality

54+2x=−13x−6 Combine like terms
54=−15x−6 Subtraction Property of Equality

60=−15x Choose......Addition property of equality, Distributive property, or multiplication Property of equality

−4=x choose........Addition property of equality, Distributive property or equality, or multiplication Property of equality

Respuesta :

Answer:

see below

Step-by-step explanation:

54+2x=5x−3(2+6x) Given

Distribute the -3 to all the terms in the parentheses

54+2x=5x−6−18x  Distributive property

54+2x=−13x−6 Combine like terms

Subtract 2x from each side

54=−15x−6 Subtraction Property of Equality

Add 6 to each side

60=−15x Addition property of equality

Divide each side by -15 ( or multiply each side by -1/15)

−4=x multiplication Property of equality