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14/x-8=6/x+7
We move all terms to the left:
14/x-8-(6/x+7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+7)!=0We get rid of parentheses
x∈R
14/x-6/x-7-8=0
We multiply all the terms by the denominator
-7*x-8*x+14-6=0
We add all the numbers together, and all the variables
-15x+8=0
We move all terms containing x to the left, all other terms to the right
-15x=-8
x=-8/-15
x=8/15
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