document.write( "Question 1163805: Could someone show me how to solve the below equation step by step - I am doing something wrong and cannot get it to come out correctly where it the solution can verify:\r
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document.write( "18 - (x+3) - 2x = 4 + (x-5)\r
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document.write( "Thank you in advance
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Algebra.Com's Answer #788018 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The others did not see your earliest post. This is what you posted\r\n" ); document.write( "that you had done:\r\n" ); document.write( " \n" ); document.write( "18 - (x+3) - 2x = 4 + (x-5) \n" ); document.write( "18 - x +3 - 2x = 4 + x-5 <---THIS STEP IS WRONG!!!!!) \n" ); document.write( "-x - 2x +18 + 3 = 4 + x-5 \n" ); document.write( "-3x +21 = 4 + x-5 \n" ); document.write( "-3x - x + 21 - 21 = x - x + 4 -5 -21 \n" ); document.write( "4x = -22 \n" ); document.write( "x = -5.5 \n" ); document.write( "------------------------------------ \n" ); document.write( " Your error was in removing parentheses when there is a minus sign preceding\r\n" ); document.write( "the parentheses.\r\n" ); document.write( "\r\n" ); document.write( "You changed - (x+3) to -x+3 when you should have changed it to -x-3.\r\n" ); document.write( "\r\n" ); document.write( "BOTH SIGNS are changed when removing the parentheses, not just the first\r\n" ); document.write( "one.\r\n" ); document.write( "\r\n" ); document.write( "When an expression in parentheses is preceded by a minus or negative sign,\r\n" ); document.write( "it is the same as if you were distributing -1 into the parentheses.\r\n" ); document.write( "\r\n" ); document.write( "So when you see -(x+3), consider it to be \r\n" ); document.write( "\r\n" ); document.write( " -1(x+3)\r\n" ); document.write( "\r\n" ); document.write( "then distribute like this\r\n" ); document.write( "\r\n" ); document.write( " (-1)(x)+(-1)(3)\r\n" ); document.write( "\r\n" ); document.write( "then\r\n" ); document.write( "\r\n" ); document.write( " -x + (-3)\r\n" ); document.write( "\r\n" ); document.write( "and finally\r\n" ); document.write( "\r\n" ); document.write( " -x - 3\r\n" ); document.write( "\r\n" ); document.write( "Now do the problem again, using -x - 3, not what you had. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |