document.write( "Question 147235: Three times the sum of 8 and twice an unknown number is equal to 4 times the sum of 3 times the unknown number and 8. Find the number. I got 2.66, but it doesn't work. Also, what does \"4 times the sum of 3 times the uknown number\" mean mathmatically? \n" ); document.write( "
Algebra.Com's Answer #107602 by jim_thompson5910(35256)\"\" \"About 
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The statement \"Three times the sum of 8 and twice an unknown number \" translates to \"3%288%2B2x%29\" and the statement \"4 times the sum of 3 times the unknown number and 8\" translates to \"4%283x%2B8%29\". Altogether they form the equation \"3%288%2B2x%29=4%283x%2B8%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%288%2B2x%29=4%283x%2B8%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"24%2B6x=12x%2B32\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"6x=12x%2B32-24\" Subtract \"24\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"6x-12x=32-24\" Subtract \"12x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-6x=32-24\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-6x=8\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%288%29%2F%28-6%29\" Divide both sides by \"-6\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=-4%2F3\" 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 answer is \"x=-4%2F3\" \r
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\n" ); document.write( "\n" ); document.write( "Which approximates to \"x=-1.333\" \r
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