(7x+5)/(3x-10)=4

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Solution for (7x+5)/(3x-10)=4 equation: 



(7x+5)/(3x-10)=4

We move all terms to the left:

(7x+5)/(3x-10)-(4)=0



Domain of the equation: (3x-10)!=0

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

3x!=10

x!=10/3

x!=3+1/3

x∈R



We multiply all the terms by the denominator


(7x+5)-4*(3x-10)=0

We multiply parentheses

(7x+5)-12x+40=0

We get rid of parentheses

7x-12x+5+40=0

We add all the numbers together, and all the variables

-5x+45=0

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

-5x=-45

x=-45/-5

x=+9

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