Question 117561
{{{(x-4)/2-1/5=(7x+1)/20}}} Start with the given equation




{{{(20)((x-4)/2-1/5)=(20)((7x+1)/20)}}} 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 <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{10(x-4)-4=1(7x+1)}}} Distribute and multiply the LCM to each side




{{{10x-40-4=7x+1}}} Distribute



{{{10x-44=7x+1}}} Combine like terms on the left side



{{{10x=7x+1+44}}}Add 44 to both sides



{{{10x-7x=1+44}}} Subtract 7x from both sides



{{{3x=1+44}}} Combine like terms on the left side



{{{3x=45}}} Combine like terms on the right side



{{{x=(45)/(3)}}} Divide both sides by 3 to isolate x




{{{x=15}}} Divide


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Answer:

So our answer is {{{x=15}}}