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1/2x+8=-3/2x+16
We move all terms to the left:
1/2x+8-(-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+8=0
We multiply all the terms by the denominator
-16*2x+8*2x+1+3=0
We add all the numbers together, and all the variables
-16*2x+8*2x+4=0
Wy multiply elements
-32x+16x+4=0
We add all the numbers together, and all the variables
-16x+4=0
We move all terms containing x to the left, all other terms to the right
-16x=-4
x=-4/-16
x=1/4
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