document.write( "Question 219124: I can't figure out how to solve this. I am currently learning about Linear Functions.\r
\n" ); document.write( "\n" ); document.write( "2x+1/3 = 2x-1/2 Solve for X.\r
\n" ); document.write( "\n" ); document.write( "PLEASE HELP!
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Algebra.Com's Answer #164849 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Is the equation \"2x%2B1%2F3=2x-1%2F2\" ???\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B1%2F3=2x-1%2F2\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"6%282x%2B1%2Fcross%283%29%29=6%282x-1%2Fcross%282%29%29\" Multiply both sides by the LCD \"6\" to clear any fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"12x%2B2=12x-3\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"12x=12x-3-2\" Subtract \"2\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"12x-12x=-3-2\" Subtract \"12x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"0x=-3-2\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"0x=-5\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"0=-5\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "Since this equation is never true for any x value, this means that there are no solutions.\r
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\n" ); document.write( "\n" ); document.write( "OR...\r
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\n" ); document.write( "\n" ); document.write( "Is the equation \"%282x%2B1%29%2F3=%282x-1%29%2F2\" ???\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%2B1%29%2F3=%282x-1%29%2F2\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"2%282x%2B1%29=3%282x-1%29\" Cross multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B2=6x-3\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"4x=6x-3-2\" Subtract \"2\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"4x-6x=-3-2\" Subtract \"6x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-2x=-3-2\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-2x=-5\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-5%29%2F%28-2%29\" Divide both sides by \"-2\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=5%2F2\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x=5%2F2\" which in decimal form is \"x=2.5\".
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