document.write( "Question 22594: 3(x-4)=2x+9 \n" ); document.write( "
Algebra.Com's Answer #11018 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
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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=21.
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  • Graphical form: Equation \"3%2A%28x-4%29=2x%2B9\" was fully solved.
  • Text form: 3*(x-4)=2x+9 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+3%2A%28x-4%29=2x%2B9+%29\"
    For tutors: simplify_cartoon( 3*(x-4)=2x+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 \"3%2A%28x-4%29=highlight_red%28+2%2Ax%2B9+%29\".
Moved these terms to the left \"highlight_green%28+-2%2Ax+%29\",\"highlight_green%28+-9+%29\"
It becomes \"3%2A%28x-4%29-highlight_green%28+2%2Ax+%29-highlight_green%28+9+%29=0\".
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Look at \"highlight_red%28+3%2A%28x-4%29+%29-2%2Ax-9=0\".
Expanded term \"3\" by using associative property on \"%28x-4%29\"
It becomes \"highlight_green%28+3%2Ax+%29-highlight_green%28+3%2A4+%29-2%2Ax-9=0\".
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Look at \"3%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29-2%2Ax-9=0\".
Multiplied numerator integers
It becomes \"3%2Ax-highlight_green%28+12+%29-2%2Ax-9=0\".
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Look at \"3%2Ax-highlight_red%28+12+%29-2%2Ax-highlight_red%28+9+%29=0\".
Added fractions or integers together
It becomes \"3%2Ax%2Bhighlight_green%28+-21+%29-2%2Ax=0\".
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Look at \"3%2Ax%2Bhighlight_red%28+-21+%29-2%2Ax=0\".
Moved \"-21\" to the right of expression
It becomes \"3%2Ax-2%2Ax%2Bhighlight_green%28+-21+%29=0\".
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Look at \"3%2Ax-2%2Ax%2Bhighlight_red%28+-21+%29=0\".
Removed extra sign in front of \"-21\"
It becomes \"3%2Ax-2%2Ax-highlight_green%28+21+%29=0\".
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Look at \"highlight_red%28+3%2Ax+%29-highlight_red%28+2%2Ax+%29-21=0\".
Eliminated similar terms \"highlight_red%28+3%2Ax+%29\",\"highlight_red%28+-2%2Ax+%29\" replacing them with \"highlight_green%28+%283-2%29%2Ax+%29\"
It becomes \"highlight_green%28+%283-2%29%2Ax+%29-21=0\".
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Look at \"highlight_red%28+%283-2%29+%29%2Ax-21=0\".
Remove extraneous '1' from product \"highlight_red%28+%283-2%29+%29\"
It becomes \"x-21=0\".
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Look at \"highlight_red%28+x-21+%29=0\".
Solved linear equation \"highlight_red%28+x-21=0+%29\" equivalent to x-21 =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!

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