document.write( "Question 908847: 5(2x-1)+x+17=5x+6(x+2) \n" ); document.write( "
Algebra.Com's Answer #551350 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"5%282x-1%29%2Bx%2B17=5x%2B6%28x%2B2%29\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10x-5%2Bx%2B17=5x%2B6x%2B12\" Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"12%2B11x=5x%2B6x%2B12\" Combine like terms on the left side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"12%2B11x=12%2B11x\" Combine like terms on the right side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"11x=12%2B11x-12\" Subtract \"12\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"11x-11x=12-12\" Subtract \"11x\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0x=12-12\" Combine like terms on the left side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0x=0\" Combine like terms on the right side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=0\" Simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since this last equation \"0=0\" is ALWAYS true for any x value, this means x can equal any number. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So there are an infinite number of solutions.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The solution set is the set of all real numbers.
\n" ); document.write( "
\n" ); document.write( "
\n" );