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41/2x+6=21/2x-10
We move all terms to the left:
41/2x+6-(21/2x-10)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-10)!=0We get rid of parentheses
x∈R
41/2x-21/2x+10+6=0
We multiply all the terms by the denominator
10*2x+6*2x+41-21=0
We add all the numbers together, and all the variables
10*2x+6*2x+20=0
Wy multiply elements
20x+12x+20=0
We add all the numbers together, and all the variables
32x+20=0
We move all terms containing x to the left, all other terms to the right
32x=-20
x=-20/32
x=-5/8
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