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3/2x+5=5/2x-1
We move all terms to the left:
3/2x+5-(5/2x-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
3/2x-5/2x+1+5=0
We multiply all the terms by the denominator
1*2x+5*2x+3-5=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
12x-2=0
We move all terms containing x to the left, all other terms to the right
12x=2
x=2/12
x=1/6
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