document.write( "Question 226515: 3 times the greatest of 3 consecutive even integers exceeds twice the least by 38. I know the answer is 26, 28, 30, but what's the equation? \n" ); document.write( "
Algebra.Com's Answer #168649 by jim_thompson5910(35256)\"\" \"About 
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Let x=first consecutive even integer, x+2=second consecutive consecutive integer, x+4=third consecutive even integer.\r
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\n" ); document.write( "\n" ); document.write( "We're also going to assume that all of these integers are positive. So the third is the largest.\r
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\n" ); document.write( "\n" ); document.write( "Since \"three times the greatest of three consecutive even integers exceed twice the least by 38\", we get the translation \"3%28x%2B4%29=2x%2B38\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x%2B4%29=2x%2B38\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B12=2x%2B38\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"3x=2x%2B38-12\" Subtract \"12\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"3x-2x=38-12\" Subtract \"2x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x=38-12\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=26\" Combine like terms on the right side.\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=26\" which means that the first number is 26, the next number is 26+2=28, and the third is 26+4=30
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