document.write( "Question 230584: When 2 is added to the difference between 6 times a number and 5, the result is greater than 13 added to 5 times the number find all such numbers? \n" ); document.write( "
Algebra.Com's Answer #170758 by drj(1380)\"\" \"About 
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When 2 is added to the difference between 6 times a number and 5, the result is greater than 13 added to 5 times the number find all such numbers?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the number\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let 6x be six times the number.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 2+6x-5=6x-3 when 2 is added to the difference between 6x a number and 5.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let 6x-3=13+5x since the result is 13 added to 5 times the number.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Solving 6x-3=13+5x leads to the following steps\r
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\n" ); document.write( "\n" ); document.write( "Add 3-5x to both sides of the equation to get only x terms on one side and only numbers on the other side\r
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\n" ); document.write( "\n" ); document.write( "\"6x-3%2B3-5x=13%2B5x%2B3-5x\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=16\"\r
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\n" ); document.write( "\n" ); document.write( "Step 6. Check solution \"x=16\" with Equation in Step 5 \"6x-3=13%2B5x\"\r
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\n" ); document.write( "\n" ); document.write( "\"6%2A16-3=13%2B5%2A16\"\r
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\n" ); document.write( "\n" ); document.write( "\"96-3=13%2B80\"\r
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\n" ); document.write( "\n" ); document.write( "\"93=93\" which is a true statement\r
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\n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: The number is 16.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV\r
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