1/(x-0.1)+1/(1.9-x)=5

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Solution for 1/(x-0.1)+1/(1.9-x)=5 equation: 



1/(x-0.1)+1/(1.9-x)=5

We move all terms to the left:

1/(x-0.1)+1/(1.9-x)-(5)=0



Domain of the equation: (x-0.1)!=0

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

x!=0.1

x∈R





Domain of the equation: (1.9-x)!=0

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

-x!=-1.9

x!=-1.9/-1

x!=1+0.9/1

x∈R



We add all the numbers together, and all the variables

1/(x-0.1)+1/(-1x+1.9)-5=0

We calculate fractions


(1*(-1x+1.9))/((x-0.1)*(-1x+1.9))+(1*(x-0.1))/((x-0.1)*(-1x+1.9))-5=0



We calculate terms in parentheses: +(1*(-1x+1.9))/((x-0.1)*(-1x+1.9)), so:

1*(-1x+1.9))/((x-0.1)*(-1x+1.9)

We multiply all the terms by the denominator


1*(-1x+1.9))

Back to the equation:

+(1*(-1x+1.9)))





We calculate terms in parentheses: +(1*(x-0.1))/((x-0.1)*(-1x+1.9)), so:

1*(x-0.1))/((x-0.1)*(-1x+1.9)

We multiply all the terms by the denominator


1*(x-0.1))

Back to the equation:

+(1*(x-0.1)))

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