(x+8)/(2x-5)=20/22.5

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Solution for (x+8)/(2x-5)=20/22.5 equation: 



(x+8)/(2x-5)=20/22.5

We move all terms to the left:

(x+8)/(2x-5)-(20/22.5)=0



Domain of the equation: (2x-5)!=0

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

2x!=5

x!=5/2

x!=2+1/2

x∈R



We add all the numbers together, and all the variables

(x+8)/(2x-5)-(+20/22.5)=0

We get rid of parentheses

(x+8)/(2x-5)-20/22.5=0

We calculate fractions


(22.5x+180)/(45x-112.5)+(-40x+100)/(45x-112.5)=0

We multiply all the terms by the denominator


(22.5x+180)+(-40x+100)=0

We get rid of parentheses

22.5x-40x+180+100=0

We add all the numbers together, and all the variables

-17.5x+280=0

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

-17.5x=-280

x=-280/-17.5

x=+16

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