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31/2x+1=1/2x+7
We move all terms to the left:
31/2x+1-(1/2x+7)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+7)!=0We get rid of parentheses
x∈R
31/2x-1/2x-7+1=0
We multiply all the terms by the denominator
-7*2x+1*2x+31-1=0
We add all the numbers together, and all the variables
-7*2x+1*2x+30=0
Wy multiply elements
-14x+2x+30=0
We add all the numbers together, and all the variables
-12x+30=0
We move all terms containing x to the left, all other terms to the right
-12x=-30
x=-30/-12
x=2+1/2
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