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1/2x-2=-8+3/2x
We move all terms to the left:
1/2x-2-(-8+3/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
1/2x-(3/2x-8)-2=0
We get rid of parentheses
1/2x-3/2x+8-2=0
We multiply all the terms by the denominator
8*2x-2*2x+1-3=0
We add all the numbers together, and all the variables
8*2x-2*2x-2=0
Wy multiply elements
16x-4x-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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