(x-1)/(2x-3)=(5)/(6)

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Solution for (x-1)/(2x-3)=(5)/(6) equation: 



(x-1)/(2x-3)=(5)/(6)

We move all terms to the left:

(x-1)/(2x-3)-((5)/(6))=0



Domain of the equation: (2x-3)!=0

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

2x!=3

x!=3/2

x!=1+1/2

x∈R



We add all the numbers together, and all the variables

(x-1)/(2x-3)-(+5/6)=0

We get rid of parentheses

(x-1)/(2x-3)-5/6=0

We calculate fractions


(6x-6)/(12x-18)+(-10x+15)/(12x-18)=0

We multiply all the terms by the denominator


(6x-6)+(-10x+15)=0

We get rid of parentheses

6x-10x-6+15=0

We add all the numbers together, and all the variables

-4x+9=0

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

-4x=-9

x=-9/-4

x=2+1/4

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