<PRE><B>Question 1110237</B>
x represents an even number. x+2 represents the next even number. 
 If one third of the smaller even number is subtracted from half of the larger even number, the result is 8. Find the value of x
:
{{{1/2}}}(x+2) - {{{1/3}}}x =  8
clear the denominators, multiply equation by 6
6*{{{1/2}}}(x+2) - 6*{{{1/3}}}x =  6(8)
cancel the denominators
3(x+2) - 2x = 48
distribute the 3
3x + 6 - 2x = 48
3x - 2x = 48 - 6
x = 42
:
:
See if that works
{{{1/2}}}(44) - {{{1/3}}}(42) =  8
22 - 14 = 8

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