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(0.2x+5)/(0.3x-3)=2/5
We move all terms to the left:
(0.2x+5)/(0.3x-3)-(2/5)=0
Domain of the equation: (0.3x-3)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
0.3x!=3
x!=3/0.3
x!=10
x∈R
(0.2x+5)/(0.3x-3)-(+2/5)=0
We get rid of parentheses
(0.2x+5)/(0.3x-3)-2/5=0
We calculate fractions
(x+25)/(x-15)+(-1x+6)/(x-15)=0
We multiply all the terms by the denominator
(x+25)+(-1x+6)=0
We get rid of parentheses
x-1x+25+6=0
We add all the numbers together, and all the variables
31!=0
There is no solution for this equation
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