document.write( "Question 685853: Please help with this: solve\r
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\n" ); document.write( "\n" ); document.write( "√(7x-8) = √(3x +12)\r
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Algebra.Com's Answer #424617 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Square both sides to get \r
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\n" ); document.write( "\n" ); document.write( "7x - 8 = 3x + 12\r
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\n" ); document.write( "\n" ); document.write( "Now solve for x\r
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\n" ); document.write( "\n" ); document.write( "\"7x-8=3x%2B12\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"7x=3x%2B12%2B8\" Add \"8\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"7x-3x=12%2B8\" Subtract \"3x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"4x=12%2B8\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"4x=20\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2820%29%2F%284%29\" Divide both sides by \"4\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=5\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the *possible* solution is \"x=5\" \r
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\n" ); document.write( "\n" ); document.write( "You need to check if it's actually the solution. You do so by plugging it back in like this\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%287x-8%29+=+sqrt%283x%2B12%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%287%285%29-8%29+=+sqrt%283%285%29%2B12%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2835-8%29+=+sqrt%2815%2B12%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2827%29+=+sqrt%2827%29\" which is TRUE\r
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\n" ); document.write( "\n" ); document.write( "So \"x=5\" is indeed the solution.
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