document.write( "Question 161313: Can you please help me solve this equation? 3/4x-5=2/3x \n" ); document.write( "
Algebra.Com's Answer #118808 by schrammbledeggs(41)\"\" \"About 
You can put this solution on YOUR website!
3/4x - 5 = 2/3x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To solve this problem let's find the lowest common denominator of the fractions...\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The denominators are 4 and 3...meaning the lowest common denominator is 12...we find that by multiplying those two numbers together...\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So since we multiplied the 4 and 3 in the denominators to get 12 we must do the same operation to the numerators...\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For 3/4...we multiplied the 4 by 3 so we must multiply the 3 by 3...the new fraction is 9/12.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For 2/3...we multiplied the 3 by 4 so we must multiply the 2 by 4...the new fraction is 8/12...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our new equation is:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9/12x - 5 = 8/12x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Subtract 8/12x from both sides...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9/12x - 8/12x - 5 = 0\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add 5 to both sides...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1/12x -5 + 5 = 0 + 5
\n" ); document.write( "1/12x = 5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now multiply by 12 on both sides to get x by itself...\r
\n" ); document.write( "\n" ); document.write( "x = 5 * 12\r
\n" ); document.write( "\n" ); document.write( "x = 60\r
\n" ); document.write( "\n" ); document.write( ":)
\n" ); document.write( "
\n" ); document.write( "
\n" );