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3/2x+5=1/2x-3
We move all terms to the left:
3/2x+5-(1/2x-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-1/2x+3+5=0
We multiply all the terms by the denominator
3*2x+5*2x+3-1=0
We add all the numbers together, and all the variables
3*2x+5*2x+2=0
Wy multiply elements
6x+10x+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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