Question 125994

{{{(2/3)x-6-1/36=-(3/4)x-8}}} Start with the given equation




{{{(36)((2/3)x-6-1/36)=(36)(-(3/4)x-8)}}} Multiply both sides by the LCM of 36. 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>)




{{{24x-216-1=-27x-288}}} Distribute and multiply the LCM to each side




{{{24x-217=-27x-288}}} Combine like terms on the left side



{{{24x=-27x-288+217}}}Add 217 to both sides



{{{24x+27x=-288+217}}} Add 27x to both sides



{{{51x=-288+217}}} Combine like terms on the left side



{{{51x=-71}}} Combine like terms on the right side



{{{x=(-71)/(51)}}} Divide both sides by 51 to isolate x




{{{x=-71/51}}} Reduce


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Answer:

So our answer is {{{x=-71/51}}}  (which is approximately {{{x=-1.3921568627451}}} in decimal form)