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

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



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

We move all terms to the left:

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



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

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

x!=2

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(4x-28)/(4x-8)+(-5x+10)/(4x-8)=0

We multiply all the terms by the denominator


(4x-28)+(-5x+10)=0

We get rid of parentheses

4x-5x-28+10=0

We add all the numbers together, and all the variables

-1x-18=0

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

-x=18

x=18/-1

x=-18

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