(5x+2)/(x-3)=-9/8

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Solution for (5x+2)/(x-3)=-9/8 equation: 



(5x+2)/(x-3)=-9/8

We move all terms to the left:

(5x+2)/(x-3)-(-9/8)=0



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

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

x!=3

x∈R



We get rid of parentheses

(5x+2)/(x-3)+9/8=0

We calculate fractions


(40x+16)/(8x-24)+(9x-27)/(8x-24)=0

We multiply all the terms by the denominator


(40x+16)+(9x-27)=0

We get rid of parentheses

40x+9x+16-27=0

We add all the numbers together, and all the variables

49x-11=0

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

49x=11

x=11/49

x=11/49

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