document.write( "Question 262205: I need help with the equation 3(4x-9)=x+100. So far I have done two steps and then i am completely lost? My first step I got 12x-27=x+100, then the second step I got 12x=x+127, now I cant figure out how do I divided the 12 with the x or the 127? \n" ); document.write( "
Algebra.Com's Answer #193153 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*(4*x-9) = x+100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12*x - 27 = x + 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so far you did good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 27 to both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12*x = x + 100 + 27\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you simplified this to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12*x = x + 127\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so far you still did good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you needed to get all the x's on one side of the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you do that by subtracting x from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12*x - x = 127\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify that to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "11*x = 127\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now you divide both sides of the equation by 11 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 127 / 11 = 11.54545454\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that should be your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you confirm by substituting for x in the original equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "original equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*(4*x-9) = x+100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute 11.54545454 for x to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*(4*11.54545454 - 9) = 11.54545454 + 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 * (37.18181818) = 111.54545454\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify further to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "111.54545454 = 111.54545454 confirming that the value calculated for x is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the numbers displayed on the calculator are usually rounded to the nearest 8 decimal places or thereabouts.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I used the internally stored numbers which are carried out to more digits than can be displayed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you just use the 8 or so decimal places displayed, your answer will be very close.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you then round to the nearest 1 or 2 decimal places, your answer should be right on.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |