(14-2x)/(x-1)-(9x+1)/(1-x)=1

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Solution for (14-2x)/(x-1)-(9x+1)/(1-x)=1 equation: 



(14-2x)/(x-1)-(9x+1)/(1-x)=1

We move all terms to the left:

(14-2x)/(x-1)-(9x+1)/(1-x)-(1)=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: (1-x)!=0

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

-x!=-1

x!=-1/-1

x!=1

x∈R



We add all the numbers together, and all the variables

(-2x+14)/(x-1)-(9x+1)/(-1x+1)-1=0

We calculate fractions


((-2x+14)*(-1x+1))/((x-1)*(-1x+1))+(-(9x+1)*(x-1))/((x-1)*(-1x+1))-1=0



We calculate terms in parentheses: +((-2x+14)*(-1x+1))/((x-1)*(-1x+1)), so:

(-2x+14)*(-1x+1))/((x-1)*(-1x+1)

We multiply all the terms by the denominator


(-2x+14)*(-1x+1))

Back to the equation:

+((-2x+14)*(-1x+1)))





We calculate terms in parentheses: +(-(9x+1)*(x-1))/((x-1)*(-1x+1)), so:

-(9x+1)*(x-1))/((x-1)*(-1x+1)

We multiply all the terms by the denominator


-(9x+1)*(x-1))

Back to the equation:

+(-(9x+1)*(x-1)))

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