document.write( "Question 1100329: Explain why 2 + 3(x – 2) = 5x – 10 is not true as a rule. \n" ); document.write( "

Algebra.Com's Answer #714826 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Probably, you want to ask:\r
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document.write( "    Explain why     2 + 3(x – 2) = 5x – 10  (*)  is not true identity.\r\n" );
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document.write( "It is because the left part is \r\n" );
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document.write( "    2 + 3x - 6 = 3x - 4,\r\n" );
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document.write( "while the right side is 5x - 10.\r\n" );
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document.write( "The left side expression differs from that of the right side.\r\n" );
document.write( "Therefore, (*) is not an identity.\r\n" );
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document.write( "We even can go further and write a hypothetical equation\r\n" );
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document.write( "3x - 4 = 5x - 10\r\n" );
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document.write( "which implies\r\n" );
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document.write( "2x = 6  and    then   x = 3.\r\n" );
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document.write( "So, the two original expressions are equal only at x = 3,  but they are not equal identically as functions.\r\n" );
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