document.write( "Question 1128220: 8 less than twice the sum of a number and 10 is twice the opposite of the number. Find the number. \n" ); document.write( "

Algebra.Com's Answer #744700 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "The literal translation of the condition is THIS equation\r\n" );
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document.write( "    2*(x+10) - 8 = 2*(-x)\r\n" );
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document.write( "Solve it step by step:\r\n" );
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document.write( "    2x + 20 - 8 = -2x\r\n" );
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document.write( "    2x + 12 + 2x = 0\r\n" );
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document.write( "    4x = -12\r\n" );
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document.write( "    x =  = -3.\r\n" );
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document.write( "Check.   2*((-3) + 10) - 8 = 2*7 - 8 = 14 - 8 = 6.\r\n" );
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document.write( "         From the other side, 2(-(-3)) = 6,  also.     ! Correct !\r\n" );
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document.write( "ANSWER.  The number is -3.\r\n" );
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