document.write( "Question 95372: summer homework,forget how to do it- five x minus 1 over 9 plus two x plus 4 over 6 equals three x minus four over 3. Solve for x.thank you \n" ); document.write( "
Algebra.Com's Answer #69590 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
five x minus 1 over 9 plus two x plus 4 over 6 equals three x minus four over 3. Solve for x.
\n" ); document.write( ":
\n" ); document.write( "Assume you mean:
\n" ); document.write( "\"%28%285x-1%29%29%2F9\" + \"%28%282x%2B4%29%29%2F6\" = \"%28%283x-4%29%29%2F3\"
\n" ); document.write( ";
\n" ); document.write( "Choose a multiplier that is a multiple of all 3 denominators, 18 will work:
\n" ); document.write( "18\"%28%285x-1%29%29%2F9\" + 18\"%28%282x%2B4%29%29%2F6\" = 18\"%28%283x-4%29%29%2F3\"
\n" ); document.write( ":
\n" ); document.write( "Cancel out the denominators and you have:
\n" ); document.write( "2(5x-1) + 3(2x+4) = 6(3x-4)
\n" ); document.write( ":
\n" ); document.write( "Multiply what's inside the brackets:
\n" ); document.write( "10x - 2 + 6x + 12 = 18x - 24
\n" ); document.write( ":
\n" ); document.write( "16x + 10 = 18x - 24
\n" ); document.write( ":
\n" ); document.write( "16x - 18x = -24 - 10
\n" ); document.write( ":
\n" ); document.write( "-2x = -34
\n" ); document.write( ":
\n" ); document.write( "x = -34/-2
\n" ); document.write( ":
\n" ); document.write( "x = +17
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check our solution; substitute 17 for x in the original equation
\n" ); document.write( "\"%28%285%2817%29-1%29%29%2F9\" + \"%28%282%2817%29%2B4%29%29%2F6\" = \"%28%283%2817%29-4%29%29%2F3\"
\n" ); document.write( ":
\n" ); document.write( "\"%28%2885-1%29%29%2F9\" + \"%28%2834%2B4%29%29%2F6\" = \"%28%2851-4%29%29%2F3\"
\n" ); document.write( ":
\n" ); document.write( "\"%28%2884%29%29%2F9\" + \"%28%2838%29%29%2F6\" = \"%28%2847%29%29%2F3\"
\n" ); document.write( ":
\n" ); document.write( "Put over the common denominator of 18 and you have:
\n" ); document.write( "\"%28%28168%29%29%2F18\" + \"%28%28114%29%29%2F18\" = \"%28%28282%29%29%2F18\"; confirms our solution
\n" ); document.write( "
\n" ); document.write( "
\n" );