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

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



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

We move all terms to the left:

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



Domain of the equation: (x-6)!=0

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

x!=6

x∈R



We get rid of parentheses

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

We calculate fractions


(-9x+15)/(3x-18)+(2x-12)/(3x-18)=0

We multiply all the terms by the denominator


(-9x+15)+(2x-12)=0

We get rid of parentheses

-9x+2x+15-12=0

We add all the numbers together, and all the variables

-7x+3=0

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

-7x=-3

x=-3/-7

x=3/7

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