document.write( "Question 652201: 2(x+3)+3x = -3(x-2)+8x\r
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Algebra.Com's Answer #407924 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"2%28x%2B3%29%2B3x=-3%28x-2%29%2B8x\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B6%2B3x=-3x%2B6%2B8x\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B6=-3x%2B6%2B8x\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B6=5x%2B6\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"5x=5x%2B6-6\" Subtract \"6\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"5x-5x=6-6\" Subtract \"5x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"0x=6-6\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"0x=0\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"0=0\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.\r
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\n" ); document.write( "\n" ); document.write( "So the answer is\r
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\n" ); document.write( "\n" ); document.write( "1) Conditional
\n" ); document.write( "2) Identity
\n" ); document.write( "3) Contradiction
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