document.write( "Question 707151: Solve: |2x-5|+24=100 \n" ); document.write( "
Algebra.Com's Answer #435578 by math-vortex(648)\"\" \"About 
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document.write( "Hi, there:\r\n" );
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document.write( "PROBLEM:\r\n" );
document.write( "Solve: |2x-5|+24=100\r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "We need to solve this equation for two case: sIn the first, |2x-5| = 2x-5, and in the second, |2x-5| = -(2x-5). \r\n" );
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document.write( "Case I:\r\n" );
document.write( "|2x-5| + 24 = 100\r\n" );
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document.write( "Clear the absolute value signs. 2x-5 is positive.\r\n" );
document.write( "2x - 5 + 24 = 100\r\n" );
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document.write( "Solve for x by combining like terms and isolating x on the left side of the equation.\r\n" );
document.write( "2x + 19 = 100\r\n" );
document.write( "2x = 81\r\n" );
document.write( "x = 40.5\r\n" );
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document.write( "Case II:\r\n" );
document.write( "|2x-5| + 24 = 100\r\n" );
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document.write( "Clear the absolute value signs. 2x-5 is negative.\r\n" );
document.write( "-(2x-5) + 24 = 100\r\n" );
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document.write( "Clear the parentheses.\r\n" );
document.write( "-2x + 5 + 24 = 100\r\n" );
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document.write( "Solve for x by combining like terms and isolating the variable o the left side of the equation.\r\n" );
document.write( "-2x + 29 = 100\r\n" );
document.write( "-2x = 71\r\n" );
document.write( "x = -35.5\r\n" );
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document.write( "Therefore, x=40.5 OR x=-35.5\r\n" );
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document.write( "I always check my work when solving absolute value problems. It's easy to make a \r\n" );
document.write( "calculation error.\r\n" );
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document.write( "x = 40.5\r\n" );
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document.write( "|2x-5| + 24 = 100\r\n" );
document.write( "|2(40.5)-5| + 24 = 100\r\n" );
document.write( "|81-5| + 24 = 100\r\n" );
document.write( "|76| + 24 = 100\r\n" );
document.write( "76 + 24 = 100\r\n" );
document.write( "100 = 100 check!\r\n" );
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document.write( "OR, x= -35.5\r\n" );
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document.write( "|2x-5| + 24 = 100\r\n" );
document.write( "|2(-35.5)-5| + 24 = 100\r\n" );
document.write( "|(-71)-5| + 24 = 100\r\n" );
document.write( "|-76| + 24 = 100\r\n" );
document.write( "76 + 24 = 100\r\n" );
document.write( "100 = 100 check!\r\n" );
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document.write( "That's it! \r\n" );
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document.write( "Ms. Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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