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5/2x=8-3/2x
We move all terms to the left:
5/2x-(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
5/2x-(-3/2x+8)=0
We get rid of parentheses
5/2x+3/2x-8=0
We multiply all the terms by the denominator
-8*2x+5+3=0
We add all the numbers together, and all the variables
-8*2x+8=0
Wy multiply elements
-16x+8=0
We move all terms containing x to the left, all other terms to the right
-16x=-8
x=-8/-16
x=1/2
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