250=(0.100+x)/(0.500-x)

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Solution for 250=(0.100+x)/(0.500-x) equation: 



250=(0.100+x)/(0.500-x)

We move all terms to the left:

250-((0.100+x)/(0.500-x))=0



Domain of the equation: (0.500-x))!=0

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

-x)!=-0.500

x!=-0.500/1

x!=-0.500

x∈R



We add all the numbers together, and all the variables

-((x+0.1)/(-1x+0.5))+250=0

We multiply all the terms by the denominator


-((x+0.1)+250*(-1x+0.5))=0



We calculate terms in parentheses: -((x+0.1)+250*(-1x+0.5)), so:

(x+0.1)+250*(-1x+0.5)

We multiply parentheses

(x+0.1)-250x+125

We get rid of parentheses

x-250x+0.1+125

We add all the numbers together, and all the variables

-249x+125.1

Back to the equation:

-(-249x+125.1)



We get rid of parentheses

249x-125.1=0

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

249x=125.1

x=125.1/249

x=113.727272727/226.363636364

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