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3/2x-4=5/2x+7
We move all terms to the left:
3/2x-4-(5/2x+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
3/2x-5/2x-7-4=0
We multiply all the terms by the denominator
-7*2x-4*2x+3-5=0
We add all the numbers together, and all the variables
-7*2x-4*2x-2=0
Wy multiply elements
-14x-8x-2=0
We add all the numbers together, and all the variables
-22x-2=0
We move all terms containing x to the left, all other terms to the right
-22x=2
x=2/-22
x=-1/11
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