Question 122823


{{{x/4-3x/2=-1/2}}} Start with the given equation




{{{(4)(x/4-3x/2)=(4)(-1/2)}}} Multiply both sides by the LCM of 4. 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>)




{{{x-6x=-2}}} Distribute and multiply the LCM to each side




{{{-5x=-2}}} Combine like terms on the left side



{{{x=(-2)/(-5)}}} Divide both sides by -5 to isolate x




{{{x=2/5}}} Reduce


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Answer:

So our answer is {{{x=2/5}}}  (which is approximately {{{x=0.4}}} in decimal form)