1/2x-3=3/2x+2

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Solution for 1/2x-3=3/2x+2 equation: 



1/2x-3=3/2x+2

We move all terms to the left:

1/2x-3-(3/2x+2)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





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

x∈R



We get rid of parentheses

1/2x-3/2x-2-3=0

We multiply all the terms by the denominator


-2*2x-3*2x+1-3=0

We add all the numbers together, and all the variables

-2*2x-3*2x-2=0

Wy multiply elements

-4x-6x-2=0

We add all the numbers together, and all the variables

-10x-2=0

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

-10x=2

x=2/-10

x=-1/5

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