document.write( "Question 341578: (x+5)/(2)=-3 \n" ); document.write( "
Algebra.Com's Answer #244601 by ichudov(507)\"\" \"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=-11.
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  • Graphical form: Equation \"%28x%2B5%29%2F%282%29=-3\" was fully solved.
  • Text form: (x+5)/(2)=-3 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%28x%2B5%29%2F%282%29=-3+%29\"
    For tutors: simplify_cartoon( (x+5)/(2)=-3 )
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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+%28x%2B5%29%2F%28highlight_red%28+2+%29%29+%29=-3\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F2+%29\"
It becomes \"%28x%2B5%29%2Fhighlight_green%28+2+%29=-3\".
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Look at \"%28x%2B5%29%2F2=highlight_red%28+-3+%29\".
Moved these terms to the left \"highlight_green%28+3+%29\"
It becomes \"%28x%2B5%29%2F2%2Bhighlight_green%28+3+%29=0\".
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Look at \"highlight_red%28+%28x%2B5%29%2F2+%29%2B3=0\".
Expanded term \"1%2F2\" by using associative property on \"%28x%2B5%29\"
It becomes \"highlight_green%28+1%2F2%2Ax+%29%2Bhighlight_green%28+1%2F2%2A5+%29%2B3=0\".
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Look at \"highlight_red%28+1+%29%2F2%2Ax%2B1%2F2%2A5%2B3=0\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"x%2F2%2B1%2F2%2A5%2B3=0\".
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Look at \"x%2F2%2Bhighlight_red%28+1+%29%2F2%2Ahighlight_red%28+5+%29%2B3=0\".
Multiplied numerator integers
It becomes \"x%2F2%2Bhighlight_green%28+5+%29%2F2%2B3=0\".
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Look at \"x%2F2%2Bhighlight_red%28+5%2F2+%29%2Bhighlight_red%28+3+%29=0\".
Added fractions or integers together
It becomes \"x%2F2%2Bhighlight_green%28+11%2F2+%29=0\".
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Look at \"highlight_red%28+x%2F2%2B11%2F2+%29=0\".
Solved linear equation \"highlight_red%28+x%2F2%2B11%2F2=0+%29\" equivalent to 0.5*x+5.5 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=-11.

Universal Simplifier and Solver

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Done!
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