document.write( "Question 389003: 5/2x + 1/4x = 11/4 + x
\n" );
document.write( "solve for x \n" );
document.write( "
Algebra.Com's Answer #275477 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! Please verify what exactly your denominator is in each; it can be read two seperate ways: I prefromed the operation in this equation, repost, using parenthasis, if the x belongs beside the fraction.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Find the LCD (least common denominator) of (5)/(2x)+(1)/(4x)+(11)/((x+4)). \n" ); document.write( "Least common denominator: 4x(x+4)\r \n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by 4x(x+4) in order to remove all the denominators from the equation. \n" ); document.write( "(5)/(2x)*4x(x+4)+(1)/(4x)*4x(x+4)=(11)/(x+4)*4x(x+4)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "11x+44=(11)/(x+4)*4x(x+4)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "11x+44=44x\r \n" ); document.write( "\n" ); document.write( "Since 44x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 44x from both sides. \n" ); document.write( "11x+44-44x=0\r \n" ); document.write( "\n" ); document.write( "Since 11x and -44x are like terms, add -44x to 11x to get -33x. \n" ); document.write( "-33x+44=0\r \n" ); document.write( "\n" ); document.write( "Since 44 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 44 from both sides. \n" ); document.write( "-33x=-44\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -33. \n" ); document.write( "-(33x)/(-33)=-(44)/(-33)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "x=-(44)/(-33)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=(4)/(3) \n" ); document.write( " |