(x-5)/(x+3)=5/8

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Solution for (x-5)/(x+3)=5/8 equation: 



(x-5)/(x+3)=5/8

We move all terms to the left:

(x-5)/(x+3)-(5/8)=0



Domain of the equation: (x+3)!=0

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

x!=-3

x∈R



We add all the numbers together, and all the variables

(x-5)/(x+3)-(+5/8)=0

We get rid of parentheses

(x-5)/(x+3)-5/8=0

We calculate fractions


(8x-40)/(8x+24)+(-5x-15)/(8x+24)=0

We multiply all the terms by the denominator


(8x-40)+(-5x-15)=0

We get rid of parentheses

8x-5x-40-15=0

We add all the numbers together, and all the variables

3x-55=0

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

3x=55

x=55/3

x=18+1/3

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