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

4(4x+6)−7=77−4x4(4x+6)−7=77−4x

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4(4x + 6) - 7 = 77 - 4xdistribute thru the parenthesis
16x + 24 - 7 = 77 - 4x ...simplify
16x + 17 = 77 - 4x ...addition property of equalityadd 4x to both sides
16x + 4x + 17 = 77 ...subtraction property ...subtract 17 from both sides
16x + 4x = 77 - 17...combine like terms
20x = 60 division propertydivide both sides by 20
x = 60/20
x = 3

The original price is 478.13 (if you round it) because 637.50 times .25(its .25 because you need to turn it into a decimal) equals 159.375 then you subtract 637.50 by 159.375 and you get 478.125 then you round and get 478.13