1/x-2=x-5/3x-6

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



1/x-2=x-5/3x-6
We move all terms to the left:
1/x-2-(x-5/3x-6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: 3x-6)!=0
x∈R
We get rid of parentheses
1/x-x+5/3x+6-2=0
We calculate fractions
-x+3x/3x^2+5x/3x^2+6-2=0
We add all the numbers together, and all the variables
-1x+3x/3x^2+5x/3x^2+4=0
We multiply all the terms by the denominator
-1x*3x^2+3x+5x+4*3x^2=0
We add all the numbers together, and all the variables
8x-1x*3x^2+4*3x^2=0
Wy multiply elements
-3x^3+12x^2+8x=0
We do not support expression: x^3

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