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1/2x+7=3/2x-7
We move all terms to the left:
1/2x+7-(3/2x-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
1/2x-3/2x+7+7=0
We multiply all the terms by the denominator
7*2x+7*2x+1-3=0
We add all the numbers together, and all the variables
7*2x+7*2x-2=0
Wy multiply elements
14x+14x-2=0
We add all the numbers together, and all the variables
28x-2=0
We move all terms containing x to the left, all other terms to the right
28x=2
x=2/28
x=1/14
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