x-4x/x+6=x-8/x-3

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Solution for x-4x/x+6=x-8/x-3 equation: 



x-4x/x+6=x-8/x-3

We move all terms to the left:

x-4x/x+6-(x-8/x-3)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-3)!=0

x∈R



We get rid of parentheses

x-4x/x-x+8/x+3+6=0

We multiply all the terms by the denominator


x*x-4x-x*x+3*x+6*x+8=0

We add all the numbers together, and all the variables

5x+x*x-x*x+8=0

Wy multiply elements

x^2-1x^2+5x+8=0

We add all the numbers together, and all the variables

5x+8=0

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

5x=-8

x=-8/5

x=-1+3/5

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