document.write( "Question 60275This question is from textbook Pre-Algebra
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document.write( ": Please solve the equation. -19x-34=56-x.
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document.write( " Thanks for the help! \n" );
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Algebra.Com's Answer #41394 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " -19x - 34 = 56 - x\r\n" ); document.write( "\r\n" ); document.write( "Get rid of all terms on the LEFT which DO NOT contain x\r\n" ); document.write( "\r\n" ); document.write( "The -34 on the LEFT DOES NOT contain x, so we get rid \r\n" ); document.write( "of it by adding its opposite, +34 to both sides\r\n" ); document.write( "\r\n" ); document.write( " -19x - 34 = 56 - x\r\n" ); document.write( " +34 +34\r\n" ); document.write( " ----------------------\r\n" ); document.write( " -19x = 90 - x\r\n" ); document.write( "\r\n" ); document.write( "Get rid of all terms on the RIGHT which DO contain x \r\n" ); document.write( "\r\n" ); document.write( "The -x on the RIGHT DOES contain x, so we get rid \r\n" ); document.write( "of it by adding its opposite, +x to both sides\r\n" ); document.write( "\r\n" ); document.write( " -19x = 90 - x\r\n" ); document.write( " +x +x\r\n" ); document.write( " ----------------------\r\n" ); document.write( " -18x = 90\r\n" ); document.write( "\r\n" ); document.write( "Now we divide both sides by the coefficient of x, \r\n" ); document.write( "which is -18\r\n" ); document.write( "\r\n" ); document.write( " -18x 90\r\n" ); document.write( " ------ = -----\r\n" ); document.write( " -18 -18\r\n" ); document.write( "\r\n" ); document.write( "Dividing on the left gives just x; dividing on \r\n" ); document.write( "the right gives -5, so we have\r\n" ); document.write( "\r\n" ); document.write( " x = -5 \r\n" ); document.write( "\r\n" ); document.write( "That's the answer. To check it we replace x \r\n" ); document.write( "by (-5) in the original equation:\r\n" ); document.write( "\r\n" ); document.write( " ?\r\n" ); document.write( " -19x - 34 = 56 - x\r\n" ); document.write( " \r\n" ); document.write( " ?\r\n" ); document.write( " -19(-5) - 34 = 56 - (-5)\r\n" ); document.write( "\r\n" ); document.write( " ? \r\n" ); document.write( " 95 - 34 = 56 + 5\r\n" ); document.write( "\r\n" ); document.write( " Ö \r\n" ); document.write( " 61 = 61 \r\n" ); document.write( " \r\n" ); document.write( "Both sides have the same number, 61, so the \r\n" ); document.write( "solution, -5, is correct.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |