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3x-1/2x+3=3x+4/2x-1
We move all terms to the left:
3x-1/2x+3-(3x+4/2x-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
3x-1/2x-3x-4/2x+1+3=0
We multiply all the terms by the denominator
3x*2x-3x*2x+1*2x+3*2x-1-4=0
We add all the numbers together, and all the variables
3x*2x-3x*2x+1*2x+3*2x-5=0
Wy multiply elements
6x^2-6x^2+2x+6x-5=0
We add all the numbers together, and all the variables
8x-5=0
We move all terms containing x to the left, all other terms to the right
8x=5
x=5/8
x=5/8
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