Question 119313


{{{x-2/3+5x/2=-3/5}}} Start with the given equation




{{{(30)(x-2/3+5x/2)=(30)(-3/5)}}} Multiply both sides by the LCM of 30. 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>)




{{{30x-20+75x=-18}}} Distribute and multiply the LCM to each side




{{{105x-20=-18}}} Combine like terms on the left side



{{{105x=-18+20}}}Add 20 to both sides



{{{105x=2}}} Combine like terms on the right side



{{{x=(2)/(105)}}} Divide both sides by 105 to isolate x




{{{x=2/105}}} Reduce


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Answer:

So our answer is {{{x=2/105}}}  (which is approximately {{{x=0.019047619047619}}} in decimal form)