3/2x-6=-9/2x+21

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Solution for 3/2x-6=-9/2x+21 equation: 



3/2x-6=-9/2x+21

We move all terms to the left:

3/2x-6-(-9/2x+21)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x+21)!=0

x∈R



We get rid of parentheses

3/2x+9/2x-21-6=0

We multiply all the terms by the denominator


-21*2x-6*2x+3+9=0

We add all the numbers together, and all the variables

-21*2x-6*2x+12=0

Wy multiply elements

-42x-12x+12=0

We add all the numbers together, and all the variables

-54x+12=0

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

-54x=-12

x=-12/-54

x=2/9

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