Question 557548
{{{(5/6)x-1/6=-(1/6)x-2/3}}} Start with the given equation.



{{{6((5/cross(6))x-1/cross(6))=6(-(1/cross(6))x-2/cross(3))}}} Multiply both sides by the LCD {{{6}}} to clear any fractions.



{{{5x-1=-1x-4}}} Distribute and multiply.



{{{5x=-x-4+1}}} Add {{{1}}} to both sides.



{{{5x+x=-4+1}}} Add {{{x}}} to both sides.



{{{6x=-4+1}}} Combine like terms on the left side.



{{{6x=-3}}} Combine like terms on the right side.



{{{x=(-3)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}.



{{{x=-1/2}}} Reduce.



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Answer:


So the solution is {{{x=-1/2}}} 



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