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1/2x+3=7/2x+5
We move all terms to the left:
1/2x+3-(7/2x+5)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+5)!=0We get rid of parentheses
x∈R
1/2x-7/2x-5+3=0
We multiply all the terms by the denominator
-5*2x+3*2x+1-7=0
We add all the numbers together, and all the variables
-5*2x+3*2x-6=0
Wy multiply elements
-10x+6x-6=0
We add all the numbers together, and all the variables
-4x-6=0
We move all terms containing x to the left, all other terms to the right
-4x=6
x=6/-4
x=-1+1/2
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