5/3x-8=x/x+2

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Solution for 5/3x-8=x/x+2 equation: 



5/3x-8=x/x+2

We move all terms to the left:

5/3x-8-(x/x+2)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: x+2)!=0

x∈R



We get rid of parentheses

5/3x-x/x-2-8=0

Fractions to decimals

5/3x-2-8+1=0

We multiply all the terms by the denominator


-2*3x-8*3x+1*3x+5=0

Wy multiply elements

-6x-24x+3x+5=0

We add all the numbers together, and all the variables

-27x+5=0

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

-27x=-5

x=-5/-27

x=5/27

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