Question 125997

{{{6/5x-2/3x=-8/45}}} Start with the given equation




{{{(45)((6/5)x-(2/3)x)=(45)(-8/45)}}} Multiply both sides by the LCM of 45. 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>)




{{{54x-30x=-8}}} Distribute and multiply the LCM to each side




{{{24x=-8}}} Combine like terms on the left side



{{{x=(-8)/(24)}}} Divide both sides by 24 to isolate x




{{{x=-1/3}}} Reduce


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Answer:

So our answer is {{{x=-1/3}}}  (which is approximately {{{x=-0.333333333333333}}} in decimal form)