SOLUTION: 3/8 x +5/6=2/3 what value is x?

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Question 174557: 3/8 x +5/6=2/3 what value is x?
Found 2 solutions by rapaljer, ankor@dixie-net.com:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming that the x is NOT in a denominator. If this was NOT your intention, you'll have to resubmit the problem.

%283%2F8%29+x+%2B+%285%2F6%29+=+%282%2F3%29

The LCD for the denominators of 8, 6, and 3 will be 24, so multiply both sides by 24.

24%2A%283%2F8%29+x+%2B24%2A+%285%2F6%29+=+24%2A%282%2F3%29
3%2A3x+%2B+4%2A5+=+8%2A2
9x+%2B+20+=+16
9x+=+-4
x=-4%2F9

R^2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F8x + 5%2F6= 2%2F3 what value is x?
:
Multiply a common multiple of all three denominators, 24:
24*3%2F8x + 24*5%2F6= 24*2%2F3
:
Cancel out the denominators and you have:
3(3x) + 4(5) = 8(2)
:
9x + 20 = 16
:
9x = 16 - 20
:
9x = -4
x = -4%2F9
:
:
Check solution in original equation:
%283%2F8%29%28-4%2F9%29 + 5%2F6= 2%2F3
-3%2F18 + 5%2F6= 2%2F3
-1%2F6x + 5%2F6= 4%2F6