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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)!=0We get rid of parentheses
x∈R
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-2=0
Wy multiply elements
2x+6x-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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