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1/2x+7=5/2x+6
We move all terms to the left:
1/2x+7-(5/2x+6)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x+6)!=0We get rid of parentheses
x∈R
1/2x-5/2x-6+7=0
We multiply all the terms by the denominator
-6*2x+7*2x+1-5=0
We add all the numbers together, and all the variables
-6*2x+7*2x-4=0
Wy multiply elements
-12x+14x-4=0
We add all the numbers together, and all the variables
2x-4=0
We move all terms containing x to the left, all other terms to the right
2x=4
x=4/2
x=2
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