document.write( "Question 115156:
\n" ); document.write( "My son needs help solving this equation: 1/2(5m+2)=1/3(7m+12). I am helping him with his homework, and I am unable to explain that equation.. Thanks
\n" ); document.write( "

Algebra.Com's Answer #83776 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29%285m%2B2%29=%281%2F3%29%287m%2B12%29\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%286%29%28%281%2F2%29%285m%2B2%29%29=%286%29%28%281%2F3%29%287m%2B12%29%29\" Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%285m%2B2%29=2%287m%2B12%29\" Distribute and multiply the LCM to each side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"15m%2B6=14m%2B24\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"15m=14m%2B24-6\"Subtract 6 from both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"15m-14m=24-6\" Subtract 14m from both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m=24-6\" Combine like terms on the left side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m=18\" Combine like terms on the right side\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"m=18\" \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );