document.write( "Question 19161: help simplify -(5x+5)-4+8x \n" ); document.write( "
Algebra.Com's Answer #9219 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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  • Graphical form: \"-%285x%2B5%29-4%2B8x\" simplifies to \"3%2Ax-9\"
  • Text form: -(5x+5)-4+8x simplifies to 3*x-9
  • Cartoon (animation) form: \"simplify_cartoon%28+-%285x%2B5%29-4%2B8x+%29\"
    For tutors: simplify_cartoon( -(5x+5)-4+8x )
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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 \"-highlight_red%28+%285%2Ax%2B5%29+%29-4%2B8%2Ax\".
Remove unneeded parentheses around terms \"highlight_red%28+-5%2Ax+%29\",\"highlight_red%28+-5+%29\"
It becomes \"-highlight_green%28+5%2Ax+%29-highlight_green%28+5+%29-4%2B8%2Ax\".
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Look at \"-5%2Ax-highlight_red%28+5+%29-highlight_red%28+4+%29%2B8%2Ax\".
Added fractions or integers together
It becomes \"-5%2Ax%2Bhighlight_green%28+-9+%29%2B8%2Ax\".
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Look at \"-5%2Ax%2Bhighlight_red%28+-9+%29%2B8%2Ax\".
Moved \"-9\" to the right of expression
It becomes \"-5%2Ax%2B8%2Ax%2Bhighlight_green%28+-9+%29\".
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Look at \"-5%2Ax%2B8%2Ax%2Bhighlight_red%28+-9+%29\".
Removed extra sign in front of \"-9\"
It becomes \"-5%2Ax%2B8%2Ax-highlight_green%28+9+%29\".
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Look at \"-highlight_red%28+5%2Ax+%29%2Bhighlight_red%28+8%2Ax+%29-9\".
Eliminated similar terms \"highlight_red%28+-5%2Ax+%29\",\"highlight_red%28+8%2Ax+%29\" replacing them with \"highlight_green%28+%28-5%2B8%29%2Ax+%29\"
It becomes \"highlight_green%28+%28-5%2B8%29%2Ax+%29-9\".
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Look at \"%28-highlight_red%28+5+%29%2Bhighlight_red%28+8+%29%29%2Ax-9\".
Added fractions or integers together
It becomes \"%28highlight_green%28+3+%29%29%2Ax-9\".
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Look at \"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29-9\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+3+%29%2Ax-9\".
Result: \"3%2Ax-9\"
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Universal Simplifier and Solver

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Done!
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