document.write( "Question 1017841: What is 7 (2x-4)-(10-3x) \n" ); document.write( "
Algebra.Com's Answer #634038 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 7 * (2x - 4) - (10 - 3x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 * (2x - 4) is equal to 14x - 28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- (10 - 3x) is equal to -10 + 3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 * (2x - 4) - (10 - 3x) is equal to 14x - 28 - 10 + 3x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 17x - 38.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "confirm by taking any value of x at random and evaluating the original expression and the final expression.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i picked x = 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the original expression of 7 * (2x - 4) - (10 - 3x) becomes 7 * (2*7-4) = (10-21) which becomes 7*10 - (-11) which becomes 70 + 11 which becomes 81.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the final expression of 17x - 38 becomes 17*7 - 38 which becomes 119 - 38 which becomes 81.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they yield the same answer so the simplification can be assumed to be good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |