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

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



(0.2x-5)/(3.5x-3)=2/5
We move all terms to the left:
(0.2x-5)/(3.5x-3)-(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)-(+2/5)=0
We get rid of parentheses
(0.2x-5)/(3.5x-3)-2/5=0
We calculate fractions
(x-25)/(15x-15)+(-6x+6)/(15x-15)=0
We multiply all the terms by the denominator
(x-25)+(-6x+6)=0
We get rid of parentheses
x-6x-25+6=0
We add all the numbers together, and all the variables
-5x-19=0
We move all terms containing x to the left, all other terms to the right
-5x=19
x=19/-5
x=-3+4/5

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