SOLUTION: what is the value of a in the proportion: 10 a -8 = 6a + 24 _______ ______ 3 = 5

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Question 282055: what is the value of a in the proportion:
10 a -8 = 6a + 24
_______ ______
3 = 5
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%2810a-8%29%2F3=%286a%2B24%29%2F5
i would multiply both sides by 15 to get rid of the fraction
i chose 15 cause 3%2A5=15
so
%283%2A5%29%28%2810a-8%29%2F3%29=%283%2A5%29%28%286a%2B24%29%2F5%29 cancel

%285%29%2810a-8%29=%283%29%286a%2B24%29 distribute
%2850a-40%29=%2818a%2B72%29 get a by itself, subtract 18a
32a-40=72 add 40
32a=112divide by 32
a=3.5
________
Check
%2810%283.5%29-8%29%2F3=%286%283.5%29%2B24%29%2F5
%28%2835%29-8%29%2F3=%28%2821%29%2B24%29%2F5
27%2F3=45%2F5
9=9 correct