SOLUTION: http://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.215278.html Where does the x=36 come from?

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Question 992709: http://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.215278.html
Where does the x=36 come from?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Bx%2B%282x%2F3-3%29%2B%282x%2F3-3%29=114


x%2Bx%2B2x%2F3-3%2B2x%2F3-3=114 Remove parenthesis


2x%2B4x%2F3-6=114 Combine like terms


6x%2F3%2B4x%2F3-6=114 Rewrite 2x as 6x%2F3


10x%2F3-6=114


10x%2F3-6%2B6=114%2B6 Add 6 to both sides.


10x%2F3=120


%2810x%2F3%29%2A3=120%2A3 Multiply both sides by 3.


10x=360


10x%2F10=360%2F10 Divide both sides by 10.


x=36