(90-x)/(180-x)=2/5

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Solution for (90-x)/(180-x)=2/5 equation:



(90-x)/(180-x)=2/5
We move all terms to the left:
(90-x)/(180-x)-(2/5)=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)-(+2/5)=0
We get rid of parentheses
(-1x+90)/(-1x+180)-2/5=0
We calculate fractions
(-5x+450)/(-5x+900)+(2x-360)/(-5x+900)=0
We multiply all the terms by the denominator
(-5x+450)+(2x-360)=0
We get rid of parentheses
-5x+2x+450-360=0
We add all the numbers together, and all the variables
-3x+90=0
We move all terms containing x to the left, all other terms to the right
-3x=-90
x=-90/-3
x=+30

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