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1/2x-3=+3/2x+4
We move all terms to the left:
1/2x-3-(+3/2x+4)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+4)!=0We add all the numbers together, and all the variables
x∈R
1/2x-(3/2x+4)-3=0
We get rid of parentheses
1/2x-3/2x-4-3=0
We multiply all the terms by the denominator
-4*2x-3*2x+1-3=0
We add all the numbers together, and all the variables
-4*2x-3*2x-2=0
Wy multiply elements
-8x-6x-2=0
We add all the numbers together, and all the variables
-14x-2=0
We move all terms containing x to the left, all other terms to the right
-14x=2
x=2/-14
x=-1/7
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