(2x+3)/(3x-7)=5/8

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Solution for (2x+3)/(3x-7)=5/8 equation: 



(2x+3)/(3x-7)=5/8

We move all terms to the left:

(2x+3)/(3x-7)-(5/8)=0



Domain of the equation: (3x-7)!=0

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

3x!=7

x!=7/3

x!=2+1/3

x∈R



We add all the numbers together, and all the variables

(2x+3)/(3x-7)-(+5/8)=0

We get rid of parentheses

(2x+3)/(3x-7)-5/8=0

We calculate fractions


(16x+24)/(24x-56)+(-15x+35)/(24x-56)=0

We multiply all the terms by the denominator


(16x+24)+(-15x+35)=0

We get rid of parentheses

16x-15x+24+35=0

We add all the numbers together, and all the variables

x+59=0

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

x=-59

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