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3/2x+1=5/2x-3
We move all terms to the left:
3/2x+1-(5/2x-3)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-3)!=0We get rid of parentheses
x∈R
3/2x-5/2x+3+1=0
We multiply all the terms by the denominator
3*2x+1*2x+3-5=0
We add all the numbers together, and all the variables
3*2x+1*2x-2=0
Wy multiply elements
6x+2x-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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