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11/2x-7=3/2x+6
We move all terms to the left:
11/2x-7-(3/2x+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
11/2x-3/2x-6-7=0
We multiply all the terms by the denominator
-6*2x-7*2x+11-3=0
We add all the numbers together, and all the variables
-6*2x-7*2x+8=0
Wy multiply elements
-12x-14x+8=0
We add all the numbers together, and all the variables
-26x+8=0
We move all terms containing x to the left, all other terms to the right
-26x=-8
x=-8/-26
x=4/13
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