(0.2x+5)/(3.5x-3)-1=2/5

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Solution for (0.2x+5)/(3.5x-3)-1=2/5 equation: 



(0.2x+5)/(3.5x-3)-1=2/5

We move all terms to the left:

(0.2x+5)/(3.5x-3)-1-(2/5)=0



Domain of the equation: (3.5x-3)!=0

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

3.5x!=3

x!=3/3.5

x!=1/1.1666666666667

x∈R



We add all the numbers together, and all the variables

(0.2x+5)/(3.5x-3)-1-(+2/5)=0

We get rid of parentheses

(0.2x+5)/(3.5x-3)-1-2/5=0

We calculate fractions


(x+25)/(15x-15)+(-6x+6)/(15x-15)-1=0

We multiply all the terms by the denominator


(x+25)+(-6x+6)-1*(15x-15)=0

We get rid of parentheses

x-6x-1*(15x-15)+25+6=0

We add all the numbers together, and all the variables

-5x-1*(15x-15)+31=0

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

-5x-1*(15x-15)=-31

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