document.write( "Question 146850: what is eight times the first of three consecutive odd integers is ten more than twice the second \n" ); document.write( "
Algebra.Com's Answer #109510 by Electrified_Levi(103)\"\" \"About 
You can put this solution on YOUR website!
Hi, Hope I can help,
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\n" ); document.write( "what is eight times the first of three consecutive odd integers is ten more than twice the second
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\n" ); document.write( "When it says consecutive odd, it means you add two to the number, then add two more to the first number(x, x+2, x+4,x+6,x+8, and so on)(you also do it to consecutive even, if it only says consecutive integers then you only add 1 every time)
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\n" ); document.write( "Our three consecutive odd integers are (x, x+2, x+4)
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\n" ); document.write( "Our equation is
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\n" ); document.write( "what is eight times the first of three consecutive odd integers is ten more than twice the second
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\n" ); document.write( " ( 8x = 2(x+2) + 10 )
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\n" ); document.write( "We will use distribution on the right side
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\n" ); document.write( " ( 8x = 2x + 4 + 10 )
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\n" ); document.write( "We will add the right side
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\n" ); document.write( " ( 8x = 2x + 14 )
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\n" ); document.write( "We will move \"2x to the left
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\n" ); document.write( " ( 8x - 2x = 2x - 2x + 14 )
\n" ); document.write( " ( 6x = 14 )
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\n" ); document.write( "We will divide everything by \"6\"
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\n" ); document.write( " \"+6x%2F6+=+14%2F6+\"
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\n" ); document.write( " \"+x+=+14%2F6+\"
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\n" ); document.write( "x = \"+14%2F6+\", or \"+7%2F3+\"
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\n" ); document.write( "We can check by replacing \"x\" with \"+7%2F3+\"
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\n" ); document.write( " ( 8x = 2(x+2) + 10 )
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\n" ); document.write( " \"+8%28+7%2F3%29+=+2%28%287%2F3%29%2B2%29+%2B+10+\"
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\n" ); document.write( " \"+56%2F3+=+2%2813%2F3%29+%2B+10+\"
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\n" ); document.write( " \"+56%2F3+=+%2826%2F3%29+%2B+10+\"
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\n" ); document.write( " \"+56%2F3+=+56%2F3+\"
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\n" ); document.write( "First number = \"x\" or \"+7%2F3+\" ( 2 \"+1%2F3+\" )
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\n" ); document.write( "Second number = (x+2) or \"+13%2F3+\" ( 4 \"+1%2F3+\" )
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\n" ); document.write( "Third number = (x + 4) or \"+19%2F3+\" (6 \"+1%2F3+\" )
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\n" ); document.write( "Hope I helped, Levi
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