(4x-8)/(3x+8)=4/5

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Solution for (4x-8)/(3x+8)=4/5 equation: 



(4x-8)/(3x+8)=4/5

We move all terms to the left:

(4x-8)/(3x+8)-(4/5)=0



Domain of the equation: (3x+8)!=0

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

3x!=-8

x!=-8/3

x!=-2+2/3

x∈R



We add all the numbers together, and all the variables

(4x-8)/(3x+8)-(+4/5)=0

We get rid of parentheses

(4x-8)/(3x+8)-4/5=0

We calculate fractions


(20x-40)/(15x+40)+(-12x-32)/(15x+40)=0

We multiply all the terms by the denominator


(20x-40)+(-12x-32)=0

We get rid of parentheses

20x-12x-40-32=0

We add all the numbers together, and all the variables

8x-72=0

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

8x=72

x=72/8

x=9

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