SOLUTION: Can you solve w+4/8 = w+10/5

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Question 544047: Can you solve w+4/8 = w+10/5
Found 2 solutions by josmiceli, JBarnum:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+w+%2B+4%2F8+=+w+%2B+10%2F5+
Subtract w from both sides
+4%2F8+=+10%2F5+
Multiply each side by 40+
+20+=+80+
This isn't true, so the equation has no solution

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
sadly i cant tell which way the equation is by the way you wrote it so i will try 2 of the 4 possible ways to write it hopefully one of them is yours
w%2B%284%2F8%29=w%2B%2810%2F5%29
4%2F8=10%2F5 in this case this is an invalid equation
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%28w%2B4%29%2F8=%28w%2B10%29%2F5 multiply the denominators together and then multiply both sides by that number, i will keep them as (5*8) so you can see cancelation process
%285%2A8%29%28%28w%2B4%29%2F8%29=%285%2A8%29%28%28w%2B10%29%2F5%29

5%28w%2B4%29=8%28w%2B10%29 Distribute
5w%2B20=8w%2B80 subtract 5w
20=3w%2B80 subtract 80
-60=3w divide by 3
highlight%28w=-20%29
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check
%28w%2B4%29%2F8=%28w%2B10%29%2F5
%28-20%2B4%29%2F8=%28-20%2B10%29%2F5
%28-16%29%2F8=%28-10%29%2F5
-2=-2
correct