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

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



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

We move all terms to the left:

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

We multiply all the terms by the denominator


1*2x-5*2x+1-3=0

We add all the numbers together, and all the variables

1*2x-5*2x-2=0

Wy multiply elements

2x-10x-2=0

We add all the numbers together, and all the variables

-8x-2=0

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

-8x=2

x=2/-8

x=-1/4

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