Question 484756
{{{(1/3)x=2-(2/3)x}}} Start with the given equation.



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



{{{x=6-2x}}} Distribute and multiply.



{{{x+2x=6}}} Add {{{2x}}} to both sides.



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



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



{{{x=2}}} Reduce.



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Answer:


So the solution is {{{x=2}}}