3=(x+1)/(x-2)

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

3=(x+1)/(x-2)

We move all terms to the left:

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


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

x∈R


We multiply all the terms by the denominator


-((x+1)+3*(x-2))=0


We calculate terms in parentheses: -((x+1)+3*(x-2)), so:

(x+1)+3*(x-2)

We multiply parentheses

(x+1)+3x-6

We get rid of parentheses

x+3x+1-6

We add all the numbers together, and all the variables

4x-5

Back to the equation:

-(4x-5)


We get rid of parentheses

-4x+5=0

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

-4x=-5

x=-5/-4

x=1+1/4