document.write( "Question 712556: |x+3|-|5-x|=|x+2| \n" ); document.write( "

Algebra.Com's Answer #456969 by tommyt3rd(5050) $\"\"$ $\"About$

You can put this solution on YOUR website!
For convenience we write: |x+3|=|x+2|+|x-5|\r
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\n" ); document.write( "\n" ); document.write( "We'll solve by checking the following cases:\r
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\n" ); document.write( "\n" ); document.write( "+++
\n" ); document.write( "x+3=x+2+x-5
\n" ); document.write( "x=6 (yes-solution)\r
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\n" ); document.write( "\n" ); document.write( "++-
\n" ); document.write( "x+3=x+2-(x-5)
\n" ); document.write( "x=4 (yes-solution)\r
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\n" ); document.write( "\n" ); document.write( "+-+
\n" ); document.write( "x+3=-(x+2)+x-5
\n" ); document.write( "x=-10 (no-not a solution)\r
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\n" ); document.write( "\n" ); document.write( "+--
\n" ); document.write( "x+3=-(x+2)-(x-5)
\n" ); document.write( "x=0 (no-not a solution)\r
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\n" ); document.write( "\n" ); document.write( "solution {4, 6}\r
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\n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( "

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