document.write( "Question 68393: -(5x-3)+2x=11-3(x+2)\r
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Algebra.Com's Answer #48660 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"-%285x+-+3%29+%2B+2x+=+11+-+3%28x+%2B+2%29\"\r\n" );
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document.write( "Place a 1 between the first negative sign and\r\n" );
document.write( "the parenthesis that follows it:\r\n" );
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document.write( "\"-1%285x+-+3%29+%2B+2x+=+11+-+3%28x+%2B+2%29\"\r\n" );
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document.write( "Use the distributive principle to remove the \r\n" );
document.write( "parentheses:\r\n" );
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document.write( "\"+-1%2A5x+%2B+1%2A3+%2B+2x+=+ll+-+3%2Ax+-+3%2A2\"\r\n" );
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document.write( "\"-5x+%2B+3+%2B+2x+=+11+-+3x+-+6\"\r\n" );
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document.write( "Combine like terms:\r\n" );
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document.write( "\"-3x+%2B+3+=+5+-+3x\"\r\n" );
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document.write( "Add 3x to both sides:\r\n" );
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document.write( "\"3+=+5\" \r\n" );
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document.write( "That is a FALSE numerical equation\r\n" );
document.write( "(all variables cancelled out).  When \r\n" );
document.write( "this occurs there is no solution. So\r\n" );
document.write( "you write \"solution set = Ø\"\r\n" );
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document.write( "Such an equation is called a\r\n" );
document.write( "\"contradiction\". NO number substituted\r\n" );
document.write( "for x will make it true.  NO NUMBER\r\n" );
document.write( "is a solution.\r\n" );
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document.write( "\"-x+%2B+3+=+-2%28x+%2B+4%29+%2B+x+%2B+11\"\r\n" );
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document.write( "Use the distributive principle to remove \r\n" );
document.write( "the parentheses:\r\n" );
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document.write( "\"-x+%2B+3+=+-2%2Ax+-+2%2A4+%2B+x+%2B+11\"\r\n" );
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document.write( "\"-x+%2B+3+=+-2x+-+8+%2B+x+%2B+11\"\r\n" );
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document.write( "Combine like terms:\r\n" );
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document.write( "\"-x+%2B+3+=+-x+%2B+3\"\r\n" );
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document.write( "Add 3x to both sides:\r\n" );
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document.write( "\"3+=+3\" \r\n" );
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document.write( "That is a TRUE numerical equation\r\n" );
document.write( "(all variables cancelled out).  When \r\n" );
document.write( "this occurs the solution set is \r\n" );
document.write( "\"all real numbers\". So\r\n" );
document.write( "you write \"solution set = R\"\r\n" );
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document.write( "Such an equation is called an \"identity\".\r\n" );
document.write( "EVERY number substituted for x will make it\r\n" );
document.write( "true. EVERY number is a solution.\r\n" );
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document.write( "Edwin
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