document.write( "Question 314877: The question asks to identify the type of equation. Conditional, inconsistent, or identity.\r
\n" ); document.write( "\n" ); document.write( "Problem: 2(1/2x + 3/2) - 7/2 = 3/2(x + 1) - (1/2x + 2)\r
\n" ); document.write( "\n" ); document.write( "I don't understand how the answer comes out to 2x - 1 = 2x -1 which means the equation is identity. Please explain step by step how this is the answer.\r
\n" ); document.write( "\n" ); document.write( "Thank you.
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Algebra.Com's Answer #225208 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Multiply both sides by 2.
\n" ); document.write( "\"+4%28%281%2F2%29x+%2B+%283%2F2%29%29+-+7+=+3%28x+%2B+1%29+-+2%28%281%2F2%29x+%2B+2%29\"
\n" ); document.write( "Distribute the 4 on the left hand side.
\n" ); document.write( "\"+%284%281%2F2%29x+%2B+4%283%2F2%29%29+-+7+=+3%28x+%2B+1%29+-+2%28%281%2F2%29x+%2B+2%29\"
\n" ); document.write( "Simplify
\n" ); document.write( "\"+%282x+%2B+6%29+-+7+=+3%28x+%2B+1%29+-+2%28%281%2F2%29x+%2B+2%29\"
\n" ); document.write( "\"+2x+-1+=+3%28x+%2B+1%29+-+2%28%281%2F2%29x+%2B+2%29\"
\n" ); document.write( "Distribute the 3 and 2 on the right hand side.
\n" ); document.write( "\"+2x+-1+=+%283x+%2B+3%29+-+%282%281%2F2%29x+%2B+4%29\"
\n" ); document.write( "\"+2x+-1+=+%283x+%2B+3%29+-+%28x+%2B+4%29\"
\n" ); document.write( "Distribute the (-1) on the right hand side.
\n" ); document.write( "\"+2x+-1+=+%283x+%2B+3%29+%2B+%28-x+-+4%29\"
\n" ); document.write( "\"+2x+-1+=+%283x-x%29+%2B+%283-4%29\"
\n" ); document.write( "\"2x-1=2x-1\"
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\n" ); document.write( "It was probably that first step (multiplying by 2) that threw you off.
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