(4x+21)/(x-3)=5/2

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Solution for (4x+21)/(x-3)=5/2 equation: 



(4x+21)/(x-3)=5/2

We move all terms to the left:

(4x+21)/(x-3)-(5/2)=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 add all the numbers together, and all the variables

(4x+21)/(x-3)-(+5/2)=0

We get rid of parentheses

(4x+21)/(x-3)-5/2=0

We calculate fractions


(8x+42)/(2x-6)+(-5x+15)/(2x-6)=0

We multiply all the terms by the denominator


(8x+42)+(-5x+15)=0

We get rid of parentheses

8x-5x+42+15=0

We add all the numbers together, and all the variables

3x+57=0

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

3x=-57

x=-57/3

x=-19

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