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So i need reasons for each of these i legit have no idea how to do proofs

3x - 4 = 2(x + 8)

3x - 4 = 2x + 16

3x = 2x + 20

x = 20

they are in order

User Rinat
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2 Answers

4 votes
yes they are in order
User Skysurfer
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5 votes


\begin {array}l\underline{\quad Statement\quad&\underline{\qquad Reason\qquad}&\underline{\qquad Side\ Note\qquad}\\ 3x-4=2(x+8)&\text{Given}&\\3x-4=2x+16&\text{Distributive Property}&\text{multiplied 2 into x+8}\\3x=2x+20&\text{Addition Property}&\text{added 4 to both sides}}\\x=20&\text{Subtraction Property}&\text{subtracted x from both sides}\\\end{array}

NOTE:

The Statement is what was provided, Reason is the justification (proof), Side Note is JUST FOR YOU so you understand why the answer for the Reason was chosen.

User Bhabani Shankar
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4.7k points