document.write( "Question 252619: I am checking my sons math.\r
\n" ); document.write( "\n" ); document.write( "Find four consecutive even integers such that 6 time the sum of the first and second is 8 more than 10 times the fourth.\r
\n" ); document.write( "\n" ); document.write( "Rob Dewey...Mitchell's Dad.
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Algebra.Com's Answer #184637 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Consecutive even integers follow the form: x, x+2, x+4, x+6, etc...\r
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\n" ); document.write( "\n" ); document.write( "So because \"6 time the sum of the first and second is 8 more than 10 times the fourth\", this translates to \"6%28x%2Bx%2B2%29=10%28x%2B6%29%2B8\"\r
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\n" ); document.write( "\n" ); document.write( "\"6%28x%2Bx%2B2%29=10%28x%2B6%29%2B8\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"6x%2B6x%2B12=10x%2B60%2B8\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"12x%2B12=10x%2B60%2B8\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"12x%2B12=10x%2B68\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"12x=10x%2B68-12\" Subtract \"12\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"12x-10x=68-12\" Subtract \"10x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"2x=68-12\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"2x=56\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2856%29%2F%282%29\" Divide both sides by \"2\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=28\" 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=28\" which means that the four consecutive even integers are\r
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\n" ); document.write( "\n" ); document.write( "x = 28
\n" ); document.write( "x+2 = 30
\n" ); document.write( "x+4 = 32
\n" ); document.write( "x+6 = 34
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