x-3/2=x/x-6

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



x-3/2=x/x-6

We move all terms to the left:

x-3/2-(x/x-6)=0



Domain of the equation: x-6)!=0

x∈R



We get rid of parentheses

x-x/x+6-3/2=0

Fractions to decimals

x+6+1-3/2=0

We multiply all the terms by the denominator


x*2-3+6*2+1*2=0

We add all the numbers together, and all the variables

x*2+11=0

Wy multiply elements

2x+11=0

We move all terms containing x to the left, all other terms to the right

2x=-11

x=-11/2

x=-5+1/2

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