document.write( "Question 1202284: The sum of 13 and the opposite of a number was multiplied by 3. This result was 11 less than twice the number. What was the number? \n" ); document.write( "

Algebra.Com's Answer #836995 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The sum of 13 and the opposite of a number was multiplied by 3.
\n" ); document.write( "This result was 11 less than twice the number. What was the number?
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document.write( "Let x be the number, now unknown.\r\n" );
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document.write( "The problem says that\r\n" );
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document.write( "    3(13 + (-x)) = 2x - 11.\r\n" );
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document.write( "Simplify, solve and find x\r\n" );
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document.write( "    3*(13-x) = 2x - 11\r\n" );
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document.write( "    39 - 3x  = 2x - 11\r\n" );
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document.write( "    39 + 11  = 2x + 3x\r\n" );
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document.write( "       50    =    5x\r\n" );
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document.write( "        x    =    50/5 = 10.\r\n" );
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document.write( "ANSWER.  The number is 10.\r\n" );
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