document.write( "Question 624176: 3/4x + 1/2 = 1/4x -3/2
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Algebra.Com's Answer #392605 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "You did not say, but I suspect that you want to solve this equation for x.\r\n" );
document.write( "\"%283%2F4%29x%2B1%2F2=%281%2F4%29x-3%2F2\"\r\n" );
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document.write( "Solution:\r\n" );
document.write( "We want to combine the x terms on the left hand side. Subtract (1/4)x from both sides. \r\n" );
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document.write( "The terms (3/4)x-(1/4)=(1/2)x. The terms (1/4)x-(1/4)x=0 so you no longer have x terms on \r\n" );
document.write( "the right hand side.\r\n" );
document.write( "\"%281%2F2%29x%2B1%2F2=-3%2F2\"\r\n" );
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document.write( "We want to combine the constant terms on the right hand side of the equation. Subtract 1/2 from \r\n" );
document.write( "both sides.\r\n" );
document.write( "\"%281%2F2%29x%2B1%2F2-1%2F2=-3%2F2-1%2F2\"\r\n" );
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document.write( "The constants 1/2-1/2=0 so we have no constant terms on the left side of the equation.\r\n" );
document.write( "-3/2-1/2 combines to -4/2, or -2.\r\n" );
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document.write( "\"%281%2F2%29x=-2\"\r\n" );
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document.write( "Multiply both sides of the equation by 2 to make the coefficient of the x term be 1 (Note: 1/2\r\n" );
document.write( "and 2 are reciprocal number, so (1/2)*2 = 1.)\r\n" );
document.write( "\"x=-4\"\r\n" );
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document.write( "It's always a good idea to check your work for errors. Substitute -4 for x in the original equation.\r\n" );
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document.write( "\"%283%2F4%29%28-4%29%2B1%2F2=%281%2F4%29%28-4%29-3%2F2\"\r\n" );
document.write( "\"-3%2B1%2F2=-1-3%2F2\"\r\n" );
document.write( "\"-2%261%2F2=-2%261%2F2\"\r\n" );
document.write( "Check!\r\n" );
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document.write( "That's it! We solved for x and found that x = -4 is an equivalent form of the original equation.\r\n" );
document.write( "Please email me if you have questions or comments about the solution.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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