document.write( "Question 54989This question is from textbook Algebra 1
\n" ); document.write( ": I am doing a multi-step problem and can't seem to grasp the point here
\n" ); document.write( "is the problem:\r
\n" ); document.write( "\n" ); document.write( "\"x%2F2%2B7=x%2F3%2B9\"\r
\n" ); document.write( "\n" ); document.write( "please show how you did it so I can understand better!!!
\n" ); document.write( "Thank you so much!
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Algebra.Com's Answer #37185 by ntnk(54)\"\" \"About 
You can put this solution on YOUR website!
Read the \"detailed explanation\" section for the steps, but disregard everything after where its says 0=0, thats an error. It is reexplained below.
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=12.
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  • Graphical form: Equation \"x%2F2%2B7=x%2F3%2B9\" was fully solved.
  • Text form: x/2+7=x/3+9 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2F2%2B7=x%2F3%2B9+%29\"
    For tutors: simplify_cartoon( x/2+7=x/3+9 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"x%2F2%2B7=highlight_red%28+x%2F3%2B9+%29\".
Moved these terms to the left \"highlight_green%28+-x%2F3+%29\",\"highlight_green%28+-9+%29\"
It becomes \"x%2F2%2B7-highlight_green%28+x%2F3+%29-highlight_green%28+9+%29=0\".
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Look at \"x%2F2%2Bhighlight_red%28+7+%29-x%2F3-highlight_red%28+9+%29=0\".
Added fractions or integers together
It becomes \"x%2F2%2Bhighlight_green%28+-2+%29-x%2F3=0\".
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Look at \"x%2F2%2Bhighlight_red%28+-2+%29-x%2F3=0\".
Moved \"-2\" to the right of expression
It becomes \"x%2F2-x%2F3%2Bhighlight_green%28+-2+%29=0\".
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Look at \"x%2F2-x%2F3%2Bhighlight_red%28+-2+%29=0\".
Removed extra sign in front of \"-2\"
It becomes \"x%2F2-x%2F3-highlight_green%28+2+%29=0\".
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Look at \"highlight_red%28+x%2F2+%29-highlight_red%28+x%2F3+%29-2=0\".
Eliminated similar terms \"highlight_red%28+x%2F2+%29\",\"highlight_red%28+-x%2F3+%29\" replacing them with \"highlight_green%28+%281%2F2-1%2F3%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2F2-1%2F3%29%2Ax+%29-2=0\".
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Look at \"%28highlight_red%28+1%2F2+%29-highlight_red%28+1%2F3+%29%29%2Ax-2=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+1%2F6+%29%29%2Ax-2=0\".
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Look at \"highlight_red%28+%28highlight_red%28+1%2F6+%29%29%2Ax+%29-2=0\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\",\"highlight_red%28+1%2F6+%29\"
It becomes \"highlight_green%28+1+%29%2Fhighlight_green%28+6+%29%2Ax-2=0\".
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Look at \"highlight_red%28+1+%29%2F6%2Ax-2=0\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"x%2F6-2=0\".
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Look at \"highlight_red%28+x%2F6-2+%29=0\".
Solved linear equation \"highlight_red%28+x%2F6-2=0+%29\" equivalent to 0.166666666666667*x-2 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "Sorry, the solver messed up a bit at the end. The correct process is when you have \"x%2F6-2=0\", you add two to both sides to get \"x%2F6=2\". Then multiply both sides by six \"6%2Ax%2F6=2%2A6\" to get the final answer. \r
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