document.write( "Question 86916: a number divided by 3 plus 6 is equal to the same number minus 2 \n" ); document.write( "
Algebra.Com's Answer #62856 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x=our unknown number\r
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\n" ); document.write( "\n" ); document.write( "So we get the equation:\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F3%2B6=x-2\" This is the translation of \"a number divided by 3 plus 6 is equal to the same number minus 2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F3=x-2-6\" Subtract 6 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F3-x=-2-6\" Subtract x from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F3-3x%2F3=-2-6\" Convert \"x\" to \"3x%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"-2x%2F3=-8\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"-2x=-8%2A3\" Multiply both sides by 3\r
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\n" ); document.write( "\n" ); document.write( "\"-2x=-24\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=-24%2F-2\" Divide both sides by -2\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \r
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\n" ); document.write( "\n" ); document.write( "\"x=12\"\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "\"12%2F3%2B6=12-2\" plug in \"x=12\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%2B6=12-2\" \r
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\n" ); document.write( "\n" ); document.write( "\"10=10\" works
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