8/(x-10)=4/(2x-7)

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Solution for 8/(x-10)=4/(2x-7) equation: 



8/(x-10)=4/(2x-7)

We move all terms to the left:

8/(x-10)-(4/(2x-7))=0



Domain of the equation: (x-10)!=0

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

x!=10

x∈R





Domain of the equation: (2x-7))!=0

x∈R



We calculate fractions


16x/((x-10)*(2x-7)))+(-(4*(x-10))/((x-10)*(2x-7)))=0



We calculate terms in parentheses: -(4*(x-10))/((x-10)*(2x-7))), so:

4*(x-10))/((x-10)*(2x-7))

We multiply all the terms by the denominator


4*(x-10))

We multiply parentheses

4x+

We add all the numbers together, and all the variables

4x

Back to the equation:

-(4x)



We add all the numbers together, and all the variables

-4x+16x/((x-10)*(2x-7)))+(=0

We multiply all the terms by the denominator


-4x*((x-10)*(2x-7)))+(+16x=0

We add all the numbers together, and all the variables

16x-4x*((x-10)*(2x-7)))+(=0

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