SOLUTION: How do I solve this problem {{{(-3/8)x+(5/56)x=16}}}

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Question 401578: How do I solve this problem
%28-3%2F8%29x%2B%285%2F56%29x=16
Found 2 solutions by stanbon, ditch9611:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-3/(8x)+5/(56x)=16
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Multiply thru by 56x to get:
-21 + 5 = 16*56x
-16 = 16*56x
56x = -1
x = -1/56
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Cheers,
Stan H.
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Answer by ditch9611(1) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this problem (isolate variable x) follow these steps:
%28-3%2F8%29x%2B%285%2F56%29x=16
%28-21%2F56%29x%2B%285%2F56%29x=16
%28-16%2F56%29x=16
56%2A%28-16%2F56%29x=16%2A56
-16x=896
%28-16x%29%2F%28-16%29=%28896%2F-16%29
x=-56
Here is what I did:
1. Copied the original problem. (correctly)
Since %28-3%2F8%29x and %285%2F56%29x where like terms (same varible, exponent, etc.) I found their LCD (Least Common Denominator)
2. I added them together.
3. Then, to isolate x I undid the current operation affecting x (multiplacation of -16) by dividing -16x by a -16.
3. And since we are solving for a variable, whatever we do to one side we must do to the other.
4. Then we simpliflfy.