document.write( "Question 18767: 5(3x+5)=4x-8 \n" ); document.write( "
Algebra.Com's Answer #9012 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=-3.
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  • Graphical form: Equation \"5%2A%283x%2B5%29=4x-8\" was fully solved.
  • Text form: 5*(3x+5)=4x-8 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+5%2A%283x%2B5%29=4x-8+%29\"
    For tutors: simplify_cartoon( 5*(3x+5)=4x-8 )
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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 \"5%2A%283%2Ax%2B5%29=highlight_red%28+4%2Ax-8+%29\".
Moved these terms to the left \"highlight_green%28+-4%2Ax+%29\",\"highlight_green%28+8+%29\"
It becomes \"5%2A%283%2Ax%2B5%29-highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+8+%29=0\".
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Look at \"highlight_red%28+5%2A%283%2Ax%2B5%29+%29-4%2Ax%2B8=0\".
Expanded term \"5\" by using associative property on \"%283%2Ax%2B5%29\"
It becomes \"highlight_green%28+5%2A3%2Ax+%29%2Bhighlight_green%28+5%2A5+%29-4%2Ax%2B8=0\".
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Look at \"highlight_red%28+5+%29%2Ahighlight_red%28+3+%29%2Ax%2B5%2A5-4%2Ax%2B8=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+15+%29%2Ax%2B5%2A5-4%2Ax%2B8=0\".
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Look at \"15%2Ax%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+5+%29-4%2Ax%2B8=0\".
Multiplied numerator integers
It becomes \"15%2Ax%2Bhighlight_green%28+25+%29-4%2Ax%2B8=0\".
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Look at \"15%2Ax%2Bhighlight_red%28+25+%29-4%2Ax%2Bhighlight_red%28+8+%29=0\".
Added fractions or integers together
It becomes \"15%2Ax%2Bhighlight_green%28+33+%29-4%2Ax=0\".
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Look at \"15%2Ax%2Bhighlight_red%28+33+%29-4%2Ax=0\".
Moved \"33\" to the right of expression
It becomes \"15%2Ax-4%2Ax%2Bhighlight_green%28+33+%29=0\".
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Look at \"highlight_red%28+15%2Ax+%29-highlight_red%28+4%2Ax+%29%2B33=0\".
Eliminated similar terms \"highlight_red%28+15%2Ax+%29\",\"highlight_red%28+-4%2Ax+%29\" replacing them with \"highlight_green%28+%2815-4%29%2Ax+%29\"
It becomes \"highlight_green%28+%2815-4%29%2Ax+%29%2B33=0\".
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Look at \"%28highlight_red%28+15+%29-highlight_red%28+4+%29%29%2Ax%2B33=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+11+%29%29%2Ax%2B33=0\".
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Look at \"highlight_red%28+%28highlight_red%28+11+%29%29%2Ax+%29%2B33=0\".
Remove unneeded parentheses around factor \"highlight_red%28+11+%29\"
It becomes \"highlight_green%28+11+%29%2Ax%2B33=0\".
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Look at \"highlight_red%28+11%2Ax%2B33+%29=0\".
Solved linear equation \"highlight_red%28+11%2Ax%2B33=0+%29\" equivalent to 11*x+33 =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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