1/2x-3=5/2x+1

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Solution for 1/2x-3=5/2x+1 equation: 



1/2x-3=5/2x+1

We move all terms to the left:

1/2x-3-(5/2x+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-5/2x-1-3=0

We multiply all the terms by the denominator


-1*2x-3*2x+1-5=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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