document.write( "Question 342363: how do you work out such an equation? x-2+3(x-4)=2(x-2) \n" ); document.write( "
Algebra.Com's Answer #245024 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x-2+3(x-4)=2(x-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify the equation by removing parentheses.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 2 + 3*x - 12 = 2*x - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4*x - 14 = 2*x - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 2*x from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2*x - 14 = -4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 14 to both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2*x = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 2 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute 5 for x in your original equation to see if it holds true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your original equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-2+3(x-4)=2(x-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 - 2 + 3(5-4) = 2(5-2) which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 - 2 + 3(1) = 2(3) which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 - 2 + 3 = 6 which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 = 6 which is true so the value of 5 for x is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |