SOLUTION: (x-4)/2-1/5=(7x+1)/20

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Question 110948: (x-4)/2-1/5=(7x+1)/20
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-4%29%2F2-1%2F5=%287x%2B1%29%2F20 Start with the given equation


%281%2F2%29%28x-4%29-1%2F5=%281%2F20%29%287x%2B1%29 Pull out the denominator so that the outer coefficient is a fraction



%2820%29%28%281%2F2%29%28x-4%29-1%2F5%29=%2820%29%28%281%2F20%29%287x%2B1%29%29 Multiply both sides by the LCM of 20. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



10%28x-4%29-4=1%287x%2B1%29 Distribute and multiply the LCM to each side



10x-40-4=7x%2B1 Distribute


10x-44=7x%2B1 Combine like terms on the left side


10x=7x%2B1%2B44Add 44 to both sides


10x-7x=1%2B44 Subtract 7x from both sides


3x=1%2B44 Combine like terms on the left side


3x=45 Combine like terms on the right side


x=%2845%29%2F%283%29 Divide both sides by 3 to isolate x



x=15 Divide

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Answer:
So our answer is x=15