8/(x-1)=10/(x+2)

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Solution for 8/(x-1)=10/(x+2) equation: 



8/(x-1)=10/(x+2)

We move all terms to the left:

8/(x-1)-(10/(x+2))=0



Domain of the equation: (x-1)!=0

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

x!=1

x∈R





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

x∈R



We calculate fractions


8x/((x-1)*(x+2)))+(-(10*(x-1))/((x-1)*(x+2)))=0



We calculate terms in parentheses: -(10*(x-1))/((x-1)*(x+2))), so:

10*(x-1))/((x-1)*(x+2))

We multiply all the terms by the denominator


10*(x-1))

We multiply parentheses

10x+

We add all the numbers together, and all the variables

10x

Back to the equation:

-(10x)



We add all the numbers together, and all the variables

-10x+8x/((x-1)*(x+2)))+(=0

We multiply all the terms by the denominator


-10x*((x-1)*(x+2)))+(+8x=0

We add all the numbers together, and all the variables

8x-10x*((x-1)*(x+2)))+(=0

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