Question 526734
{{{1/6-x/2=x-5/3}}} Start with the given equation.



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



{{{1-3x=6x-10}}} Distribute and multiply.



{{{-3x=6x-10-1}}} Subtract {{{1}}} from both sides.



{{{-3x-6x=-10-1}}} Subtract {{{6x}}} from both sides.



{{{-9x=-10-1}}} Combine like terms on the left side.



{{{-9x=-11}}} Combine like terms on the right side.



{{{x=(-11)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}.



{{{x=11/9}}} Reduce.



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Answer:


So the solution is {{{x=11/9}}} 



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