(7x-4)/(5x+2)-2=10

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Solution for (7x-4)/(5x+2)-2=10 equation: 



(7x-4)/(5x+2)-2=10

We move all terms to the left:

(7x-4)/(5x+2)-2-(10)=0



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

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

5x!=-2

x!=-2/5

x!=-2/5

x∈R



We add all the numbers together, and all the variables

(7x-4)/(5x+2)-12=0

We multiply all the terms by the denominator


(7x-4)-12*(5x+2)=0

We multiply parentheses

(7x-4)-60x-24=0

We get rid of parentheses

7x-60x-4-24=0

We add all the numbers together, and all the variables

-53x-28=0

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

-53x=28

x=28/-53

x=-28/53

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