document.write( "Question 41476: i was wondering how to add (2x+1)+(x-2)-(x-3)+(5-x)
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Algebra.Com's Answer #26767 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
I was wondering how to add      \r\n" );
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document.write( "2x+1   x-2   x-3   5-x\r\n" );
document.write( "———— + ——— - ——— + ———                           \r\n" );
document.write( " 3      4     6     2       \r\n" );
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document.write( "the answer is \r\n" );
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document.write( "3x+34\r\n" );
document.write( "—————\r\n" );
document.write( " 12\r\n" );
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document.write( "The LCD of 3, 4, 6, and 2 is 12.  So we:\r\n" );
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document.write( "Multiply the first fraction by (4)/(4) to \r\n" );
document.write( "make it have a denominator of 12\r\n" );
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document.write( "(4)(2x+1)     8x+4  \r\n" );
document.write( "——————————  = ————                          \r\n" );
document.write( "  (4)3         12\r\n" );
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document.write( "Multiply the second fraction by (3)/(3) to \r\n" );
document.write( "make it have a denominator of 12\r\n" );
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document.write( "(3)(x-2)     3x-6  \r\n" );
document.write( "—————————  = ————                          \r\n" );
document.write( "  (3)4        12\r\n" );
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document.write( "Multiply the third fraction by (2)/(2) to \r\n" );
document.write( "make it have a denominator of 12\r\n" );
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document.write( "  (2)(x-3)       2x-6  \r\n" );
document.write( "- —————————  = - ————                          \r\n" );
document.write( "    (2)6          12\r\n" );
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document.write( "Multiply the fourth fraction by (6)/(6) to \r\n" );
document.write( "make it have a denominator of 12\r\n" );
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document.write( "(6)(5-x)     30-6x  \r\n" );
document.write( "—————————  = —————                          \r\n" );
document.write( "  (6)2        12\r\n" );
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document.write( "So the original expression\r\n" );
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document.write( "2x+1   x-2   x-3   5-x\r\n" );
document.write( "———— + ——— - ——— + ———                           \r\n" );
document.write( " 3      4     6     2 \r\n" );
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document.write( "becomes\r\n" );
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document.write( "8x+4   3x-6   2x-6   30-6x\r\n" );
document.write( "———— + ———— - ———— + —————                           \r\n" );
document.write( " 12     12     12      12\r\n" );
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document.write( "Enclose the numerators in paretheses, so we\r\n" );
document.write( "won't get the signs wrong:\r\n" );
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document.write( "(8x+4)   (3x-6)   (2x-6)   (30-6x)\r\n" );
document.write( "—————— + —————— - —————— + ———————                           \r\n" );
document.write( "  12       12       12       12\r\n" );
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document.write( "Combine the numerators over the LCD of 12,\r\n" );
document.write( "using the signs of the fractions:\r\n" );
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document.write( "(8x+4)+(3x-6)-(2x-6)+(30-6x)\r\n" );
document.write( "————————————————————————————  \r\n" );
document.write( "            12\r\n" );
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document.write( "Remove the parentheses\r\n" );
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document.write( "8x+4+3x-6-2x+6+30-6x\r\n" );
document.write( "————————————————————  \r\n" );
document.write( "         12\r\n" );
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document.write( "Get like terms together in the numerator\r\n" );
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document.write( "8x+3x-2x-6x+4-6+6+30\r\n" );
document.write( "————————————————————  \r\n" );
document.write( "         12\r\n" );
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document.write( "Combine the like terms:\r\n" );
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document.write( "3x + 34\r\n" );
document.write( "———————\r\n" );
document.write( "  12\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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