4(x−2)+1=9 --> 4x−8+1=9
you used the distributive property
4x−8+1=9 --> 4x - 7 = 9
you simplified or added like terms
4x - 7 = 9 --> 4x = 16
you added 7 to both sides, rules of equation
4x = 16 ----> x = 4
you divided both sides by 4, rules of equation
I don't know what "justifications" were available for you
Drag and drop the correct justifications into the boxes.
4(x−2)+1=9 : subtraction property of equality
4x−8+1=9 :combine like terms
4x−7=9 : distributive property
4x = 16 : associative property of equality
x = 4 : division property of equality
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