x+1/3(x-2)=5x/6+1/x-2

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Solution for x+1/3(x-2)=5x/6+1/x-2 equation:


x+1/3(x-2)=5x/6+1/x-2

We simplify the equation to the form, which is simple to understand
x+1/3(x-2)=5x/6+1/x-2

Reorder the terms in parentheses
x+( + 0.33333333333333x-0.66666666666667)=0.83333333333333x/x-2

Remove unnecessary parentheses
+x + 0.33333333333333x-0.66666666666667=0.83333333333333x+/x-2

We move all terms containing x to the left and all other terms to the right.
+1x + 0.33333333333333x-0.83333333333333x-1x=-2 + 0.66666666666667

We simplify left and right side of the equation.
-0.5x=-1.3333333333333

We divide both sides of the equation by -0.5 to get x.
x=2.6666666666667

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