(-2x+6)/(x-2)=2

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Solution for (-2x+6)/(x-2)=2 equation: 



(-2x+6)/(x-2)=2

We move all terms to the left:

(-2x+6)/(x-2)-(2)=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 multiply all the terms by the denominator


(-2x+6)-2*(x-2)=0

We multiply parentheses

(-2x+6)-2x+4=0

We get rid of parentheses

-2x-2x+6+4=0

We add all the numbers together, and all the variables

-4x+10=0

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

-4x=-10

x=-10/-4

x=2+1/2

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