((105-x)/x)=0.05

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Solution for ((105-x)/x)=0.05 equation: 



((105-x)/x)=0.05

We move all terms to the left:

((105-x)/x)-(0.05)=0



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

((-1x+105)/x)-(0.05)=0

We add all the numbers together, and all the variables

((-1x+105)/x)-0.05=0

We multiply all the terms by the denominator


((-1x+105)-(0.05)*x)=0



We calculate terms in parentheses: +((-1x+105)-(0.05)*x), so:

(-1x+105)-(0.05)*x

We multiply parentheses

(-1x+105)-0.05x

We get rid of parentheses

-1x-0.05x+105

We add all the numbers together, and all the variables

-1.05x+105

Back to the equation:

+(-1.05x+105)



We get rid of parentheses

-1.05x+105=0

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

-1.05x=-105

x=-105/-1.05

x=+100

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