document.write( "Question 83579This question is from textbook
\n" ); document.write( ": how do you solve 6x divided by x+4 plus 4 equals 2x+2 divided by x-1 \n" ); document.write( "
Algebra.Com's Answer #60148 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
solve 6x divided by x+4 plus 4 equals 2x+2 divided by x-1
\n" ); document.write( ":
\n" ); document.write( "\"%286x%29%2F%28%28x%2B4%29%29\"+ 4 = \"%28%282x%2B2%29%29%2F%28%28+x-1%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Multiply equation by the common denominator; (x+4)(x-1) and you have:
\n" ); document.write( "6x(x-1) + 4(x+4)(x-1) = (x+4)(2x+2)
\n" ); document.write( ":
\n" ); document.write( "6x^2 - 6x + 4(x^2 - x + 4x - 4) = 2x^2 + 2x + 8x + 8: FOILed
\n" ); document.write( ":
\n" ); document.write( "6x^2 - 6x + 4(x^2 + 3x - 4) = 2x^2 + 10x + 8: combined like terms
\n" ); document.write( ":
\n" ); document.write( "6x^2 - 6x + 4x^2 + 12x - 16 = 2x^2 + 10x + 8
\n" ); document.write( ":
\n" ); document.write( "6x^2 + 4x^2 - 2x^2 - 6x + 12x - 10x - 16 - 8 = 0; Group like terms on the left
\n" ); document.write( ":
\n" ); document.write( "8x^2 - 4x - 24 = 0
\n" ); document.write( ":
\n" ); document.write( "2x^2 - x - 6 = 0; simplified divided equation by 4
\n" ); document.write( ":
\n" ); document.write( "(2x + 3)(x - 2) = 0; factored
\n" ); document.write( ":
\n" ); document.write( "2x = -3
\n" ); document.write( "x = -3/2
\n" ); document.write( "and
\n" ); document.write( "x = +2
\n" ); document.write( ":
\n" ); document.write( "It would be good to check solutions by substitution in the original equation \n" ); document.write( "
\n" );