document.write( "Question 44251: can someone please help me with this problem: 1/3x+6 +2 = 3/x+2 \n" ); document.write( "

Algebra.Com's Answer #853558 by MathTherapy(10704) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "can someone please help me with this problem:  1/3x+6 +2 = 3/x+2\r\n" );
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document.write( "The answer provided by the other person who responded, is WRONG!!\r\n" );
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document.write( "Based on the person's statement, if he/she wants to do well in the tutoring business, the person needs\r\n" );
document.write( "to know how to check his/her work, before submitting it. And, after doing so, this person also needs to\r\n" );
document.write( "CHECK whatever answer he/she has derived. \r\n" );
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document.write( "1 + 2(3)(x + 2) = 3(3) --- Multiplying by LCD, 3(x + 2)\r\n" );
document.write( "    1 + 6x + 12 = 9\r\n" );
document.write( "        6x = 9 - 13\r\n" );
document.write( "        6x = - 4 \r\n" );
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document.write( "If you DON’T use an LCD, but a COMMON DENOMINATOR instead, you could end up with a quadratic equation\r\n" );
document.write( "that can be FACTORIZED nicely, and result in another solution, - 2. However, this solution is an\r\n" );
document.write( "EXTRANEOUS one, as it leads to both original fractional-expressions, being UNDEFINED!

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