Question 115206


{{{5x/7-6x/5=3/35}}} Start with the given equation




{{{(35)(5x/7-6x/5)=(35)(3/35)}}} Multiply both sides by the LCM of 35. 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>)




{{{25x-42x=3}}} Distribute and multiply the LCM to each side




{{{-17x=3}}} Combine like terms on the left side



{{{x=(3)/(-17)}}} Divide both sides by -17 to isolate x




{{{x=-3/17}}} Reduce


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Answer:

So our answer is {{{x=-3/17}}}  (which is approximately {{{x=-0.176470588235294}}} in decimal form)