x/x-6+7=6/x-6

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Solution for x/x-6+7=6/x-6 equation:



x/x-6+7=6/x-6
We move all terms to the left:
x/x-6+7-(6/x-6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-6)!=0
x∈R
We add all the numbers together, and all the variables
x/x-(6/x-6)+1=0
We get rid of parentheses
x/x-6/x+6+1=0
Fractions to decimals
-6/x+6+1+1=0
We multiply all the terms by the denominator
6*x+1*x+1*x-6=0
We add all the numbers together, and all the variables
8x-6=0
We move all terms containing x to the left, all other terms to the right
8x=6
x=6/8
x=3/4

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