document.write( "Question 75665: Please explain how to solve this equation?\r
\n" ); document.write( "\n" ); document.write( "x+4 - 4 = x-11
\n" ); document.write( "___ ____
\n" ); document.write( " 3 4
\n" ); document.write( "

Algebra.Com's Answer #54352 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%2B4%29%2F3-4=%28x-11%29%2F4\"
\n" ); document.write( "\"12%28%28x%2B4%29%2F3-4%29=%28%28x-11%29%2F4%2912\" Multiply both sides by the LCD (12) to clear the denominators
\n" ); document.write( "\"4%28x%2B4%29-48=3%28x-11%29\"
\n" ); document.write( "\"4x%2B16-48=3x-33\" Distribute
\n" ); document.write( "\"4x-32=3x-33\" Add like terms
\n" ); document.write( "\"4x=3x-1\" Add 32 to both sides
\n" ); document.write( "\"x=-1\" Subtract 3x from both sides
\n" ); document.write( "


\n" ); document.write( "Check:
\n" ); document.write( "\"%28x%2B4%29%2F3-4=%28x-11%29%2F4\"
\n" ); document.write( "\"%28%28-1%29%2B4%29%2F3-4=%28%28-1%29-11%29%2F4\" plug in x=-1
\n" ); document.write( "\"3%2F3-4=%28-12%29%2F4\"
\n" ); document.write( "\"1-4=-3\"
\n" ); document.write( "\"-3=-3\" works \n" ); document.write( "

\n" );