Question 547896
{{{2a+2/3=a-1/3}}} Start with the given equation.



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



{{{6a+2=3a-1}}} Distribute and multiply.



{{{6a=3a-1-2}}} Subtract {{{2}}} from both sides.



{{{6a-3a=-1-2}}} Subtract {{{3a}}} from both sides.



{{{3a=-1-2}}} Combine like terms on the left side.



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



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



{{{a=-1}}} Reduce.



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Answer:


So the solution is {{{a=-1}}}