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1/2x+2=3/2x-6
We move all terms to the left:
1/2x+2-(3/2x-6)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-6)!=0We get rid of parentheses
x∈R
1/2x-3/2x+6+2=0
We multiply all the terms by the denominator
6*2x+2*2x+1-3=0
We add all the numbers together, and all the variables
6*2x+2*2x-2=0
Wy multiply elements
12x+4x-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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