document.write( "Question 290857: One third of a number is 5 less than half of the same number. what is the number? I also need to know how to check this and also thank you! \n" ); document.write( "
Algebra.Com's Answer #210474 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let x = \" number\"
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\n" ); document.write( "Write an equation for what it says:
\n" ); document.write( "\"One third of a number is 5 less than half of the same number.\"
\n" ); document.write( "\"1%2F3\"x = \"1%2F2\"x - 5
\n" ); document.write( "Get rid of the denominators, multiply by 6, results:
\n" ); document.write( "2x = 3x - 30
\n" ); document.write( "2x - 3x = -30
\n" ); document.write( "-1x = -30
\n" ); document.write( "Multiply both sides by -1
\n" ); document.write( "x = 30 is the number
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\n" ); document.write( "Check it in the given statement:
\n" ); document.write( "\"One third of a number is 5 less than half of the same number. what is the number?\"
\n" ); document.write( "\"1%2F3\"(30) = \"1%2F2\"(30) - 5
\n" ); document.write( "10 = 15 - 5; confirms our solutions\r
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