(90-x)/(180-x)=1/3

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Solution for (90-x)/(180-x)=1/3 equation: 



(90-x)/(180-x)=1/3

We move all terms to the left:

(90-x)/(180-x)-(1/3)=0



Domain of the equation: (180-x)!=0

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

-x!=-180

x!=-180/-1

x!=+180

x∈R



We add all the numbers together, and all the variables

(-1x+90)/(-1x+180)-(+1/3)=0

We get rid of parentheses

(-1x+90)/(-1x+180)-1/3=0

We calculate fractions


(-3x+270)/(-3x+540)+(-1*(-1x+180))/(-3x+540)=0



We calculate terms in parentheses: +(-1*(-1x+180))/(-3x+540), so:

-1*(-1x+180))/(-3x+540

We add all the numbers together, and all the variables

-3x-1*(-1x+180))/(+540

We multiply all the terms by the denominator


-3x*(-1*(-1x+180))+540*(

We add all the numbers together, and all the variables

-3x*(-1*(-1x+180))

Back to the equation:

+(-3x*(-1*(-1x+180)))



We multiply all the terms by the denominator


(-3x+270)+((-3x*(-1*(-1x+180))))*(-3x+540)=0



We calculate terms in parentheses: +((-3x*(-1*(-1x+180))))*(-3x+540), so:

(-3x*(-1*(-1x+180))))*(-3x+540

We add all the numbers together, and all the variables

-3x+(-3x*(-1*(-1x+180))))*(+540

Back to the equation:

+(-3x+(-3x*(-1*(-1x+180))))*(+540)



We add all the numbers together, and all the variables

(-3x+270)+(-3x+(-3x*(-1*(-1x+180))))*540=0

We get rid of parentheses

-3x+(-3x+(-3x*(-1*(-1x+180))))*540+270=0

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

-3x+(-3x+(-3x*(-1*(-1x+180))))*540=-270

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