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

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



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

We move all terms to the left:

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



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x+1)!=0

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

-1*2x-3*2x+4=0

Wy multiply elements

-2x-6x+4=0

We add all the numbers together, and all the variables

-8x+4=0

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

-8x=-4

x=-4/-8

x=1/2

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