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3/2x-4=1/2x+6
We move all terms to the left:
3/2x-4-(1/2x+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
3/2x-1/2x-6-4=0
We multiply all the terms by the denominator
-6*2x-4*2x+3-1=0
We add all the numbers together, and all the variables
-6*2x-4*2x+2=0
Wy multiply elements
-12x-8x+2=0
We add all the numbers together, and all the variables
-20x+2=0
We move all terms containing x to the left, all other terms to the right
-20x=-2
x=-2/-20
x=1/10
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