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

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



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

We move all terms to the left:

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



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x-5)!=0

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

10x+6x-2=0

We add all the numbers together, and all the variables

16x-2=0

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

16x=2

x=2/16

x=1/8

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