document.write( "Question 426427: I really need your help, I tried this and keep coming up with the wrong answer.-------> solve the following equation for x...x+2/x+4=x-4/x+5... the answer I got was -26/7. thanks \n" ); document.write( "
Algebra.Com's Answer #296626 by linh117(31)![]() ![]() ![]() You can put this solution on YOUR website! x+(2)/(x)+4=x-(4)/(x)+5\r \n" ); document.write( "\n" ); document.write( "Find the LCD (least common denominator) of x+(2)/(x)+4+x-(4)/(x)+5. \n" ); document.write( "Least common denominator: x\r \n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by x in order to remove all the denominators from the equation. \n" ); document.write( "x*x+(2)/(x)*x+4*x=x*x-(4)/(x)*x+5*x\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common terms. \n" ); document.write( "x^(2)+4x+2=x*x-(4)/(x)*x+5*x\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x^(2)+4x+2=x^(2)+5x-4\r \n" ); document.write( "\n" ); document.write( "Move all terms not containing x to the right-hand side of the equation. \n" ); document.write( "x^(2)+4x+2-x^(2)-5x=-4\r \n" ); document.write( "\n" ); document.write( "Since x^(2) and -x^(2) are like terms, add -x^(2) to x^(2) to get 0. \n" ); document.write( "0+4x+2-5x=-4\r \n" ); document.write( "\n" ); document.write( "Since 4x and -5x are like terms, add -5x to 4x to get -x. \n" ); document.write( "-x+2=-4\r \n" ); document.write( "\n" ); document.write( "Since 2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2 from both sides. \n" ); document.write( "-x=-2-4\r \n" ); document.write( "\n" ); document.write( "Subtract 4 from -2 to get -6. \n" ); document.write( "-x=-6\r \n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by -1. \n" ); document.write( "-x*-1=-6*-1\r \n" ); document.write( "\n" ); document.write( "Multiply -x by -1 to get x. \n" ); document.write( "x=-6*-1\r \n" ); document.write( "\n" ); document.write( "Multiply -6 by -1 to get 6. \n" ); document.write( "x=6 \n" ); document.write( " |