document.write( "Question 57523: Find a number which is 24 greater than twice its opposite. Show work \n" ); document.write( "
Algebra.Com's Answer #39308 by mszlmb(115)\"\" \"About 
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The opposite of any number is negative that number.\r\n" );
document.write( "The opposite of x is -x.\r\n" );
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document.write( "Twice the opposite of any number is double that number's negative value.\r\n" );
document.write( "Twice the opposite of x is 2*-x.\r\n" );
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document.write( "Twenty four greater than twice the opposite of a number is that number's doubled negative value plus twenty four.\r\n" );
document.write( "Twenty four greater than twice the opposite of x is (2*-x)+24\r\n" );
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document.write( "Let's simplify:\r\n" );
document.write( "-2x+24\r\n" );
document.write( "...that was easy.\r\n" );
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document.write( "Well, we want a number that is twice its opposite plus 24, so the number X must equal the equation:\r\n" );
document.write( "x=-2x+24\r\n" );
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document.write( "There, now we solve:\r\n" );
document.write( "x=-2x+24  plus 2x on both sides\r\n" );
document.write( "x+2x=-2x+24+2x  the 2x and -2x on the right cancel and on the left add up:\r\n" );
document.write( "3x=24  divide both sides by 3\r\n" );
document.write( "x=8.   \r\n" );
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document.write( "There's the answer.\r\n" );
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document.write( "8 is twenty four more than twice its opposite:\r\n" );
document.write( "8=(-2*8)+24\r\n" );
document.write( "8=(-16)+24\r\n" );
document.write( "8=24-16\r\n" );
document.write( "8=8  Woopee!!!\r\n" );
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document.write( "ok if you have questions or concerns feel free to email me.
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