document.write( "Question 339533: i worked this problem: (2x + 1)/3 - (3-x)/4 = (x)/6\r
\n" ); document.write( "\n" ); document.write( "and i got 1.67 = x which is wrong\r
\n" ); document.write( "\n" ); document.write( "this is how i did it:\r
\n" ); document.write( "\n" ); document.write( "(2x+1)/3 - (3-x)/4 = (x)/6\r
\n" ); document.write( "\n" ); document.write( "multiply by the LCD,12. to get rid of the fractions
\n" ); document.write( "24x+12/3 - 36-12x/4 = 12x/6
\n" ); document.write( "8x + 4 - 9 - 3x = 2x\r
\n" ); document.write( "\n" ); document.write( "simplify
\n" ); document.write( "5x - 5 = 2x\r
\n" ); document.write( "\n" ); document.write( "subtract 2x to get the variables on the same side
\n" ); document.write( "5x - 5 - 5x = 2x - 5x
\n" ); document.write( "-5 = -3x\r
\n" ); document.write( "\n" ); document.write( "multiply by 1/-3
\n" ); document.write( "-5(1/-3) = -3x(1/-3)
\n" ); document.write( "-5/-3 = -3x/-3\r
\n" ); document.write( "\n" ); document.write( "simplify
\n" ); document.write( "1.67 = x\r
\n" ); document.write( "\n" ); document.write( "can you tell me what am i doing wrong??? thanks!\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #243276 by jrfrunner(365)\"\" \"About 
You can put this solution on YOUR website!
following your step
\n" ); document.write( "multiply by the LCD,12. to get rid of the fractions
\n" ); document.write( "--
\n" ); document.write( "you did
\n" ); document.write( "24x+12/3 - 36-12x/4 = 12x/6\r
\n" ); document.write( "\n" ); document.write( "you are not clear with how you are multiplying both sides
\n" ); document.write( "(24x+12)/3 -(36-12x)/4=12x/6
\n" ); document.write( "--
\n" ); document.write( "which yiels
\n" ); document.write( "8x+4-9+3x=2x you got 8x+4-9-3x=2x you have missed distributing the negative to -12x\r
\n" ); document.write( "\n" ); document.write( "===
\n" ); document.write( "by the way, it is much easier to do the following, after you multiply the LCD
\n" ); document.write( "12(2x+1)/3-12(3-x)/4=12x/6
\n" ); document.write( "after this step, simply the ratios
\n" ); document.write( "4(2x+1)-3(3-x)=2x
\n" ); document.write( "
\n" );