SOLUTION: 2/5=5/10n+2

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Question 116188: 2/5=5/10n+2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2F5=%285%2F10%29n%2B2 Start with the given equation



%2810%29%282%2F5%29=%2810%29%28%285%2F10%29n%2B2%29 Multiply both sides by the LCM of 10. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



4=5n%2B20 Distribute and multiply the LCM to each side



0=5n%2B20-4Subtract 4 from both sides


-5n=20-4 Subtract 5n from both sides


-5n=16 Combine like terms on the right side


n=%2816%29%2F%28-5%29 Divide both sides by -5 to isolate n



n=-16%2F5 Reduce

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Answer:
So our answer is n=-16%2F5 (which is approximately n=-3.2 in decimal form)