document.write( "Question 69263: 23 6 less than 5 times a number is subtracted from 3 times the number. if the result is 12, find the number. \n" ); document.write( "

Algebra.Com's Answer #49298 by ptaylor(2198) $\"\"$ $\"About$

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Let x= the number\r
\n" ); document.write( "\n" ); document.write( "Then five times the number is 5x\r
\n" ); document.write( "\n" ); document.write( "Six less than 5 times the number is 5x-6\r
\n" ); document.write( "\n" ); document.write( "Three times the number is 3x\r
\n" ); document.write( "\n" ); document.write( "6 less than 5 times a number, subtracted from 3 times the number is 3x-(5x-6) and this equals 12, we are told. So, our equation to solve is:\r
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\n" ); document.write( "\n" ); document.write( "3x-(5x-6)=12 get rid of parens (to do that we have to multiply (5x-6) by -1) \r
\n" ); document.write( "\n" ); document.write( "3x-5x+6=12 subtract 6 from both sides\r
\n" ); document.write( "\n" ); document.write( "3x-5x+6-6=12-6 collect like terms\r
\n" ); document.write( "\n" ); document.write( "-2x=6 divide both sides by -2\r
\n" ); document.write( "\n" ); document.write( "x=-3\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "3x-(5x-6)=12 \r
\n" ); document.write( "\n" ); document.write( "3(-3)-(5(-3)-6)=12
\n" ); document.write( "-9-(-15-6)=12
\n" ); document.write( "-9-(-21)=12
\n" ); document.write( "-9+21=12
\n" ); document.write( "12=12\r
\n" ); document.write( "\n" ); document.write( "Hope this helps-----ptaylor\r
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