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12+1/2x=-3/2x-16
We move all terms to the left:
12+1/2x-(-3/2x-16)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-16)!=0We get rid of parentheses
x∈R
1/2x+3/2x+16+12=0
We multiply all the terms by the denominator
16*2x+12*2x+1+3=0
We add all the numbers together, and all the variables
16*2x+12*2x+4=0
Wy multiply elements
32x+24x+4=0
We add all the numbers together, and all the variables
56x+4=0
We move all terms containing x to the left, all other terms to the right
56x=-4
x=-4/56
x=-1/14
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